Kai Wang

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All published works
Action Title Year Authors
+ Inverse problems for the eigenparameter Dirac operator with complex weight 2024 Ran Zhang
Kai Wang
Chuan‐Fu Yang
+ Asymptotic profiles of basic reproduction number for a degenerate reaction–diffusion host–pathogen model 2024 Jianpeng Wang
Kai Wang
Pan Zhou
Binxiang Dai
Zhidong Teng
+ Half inverse problem and interior inverse problem for the Dirac operators with discontinuity 2024 Kai Wang
Ran Zhang
Chuan‐Fu Yang
+ Stationary distribution and bifurcation analysis for a stochastic SIS model with nonlinear incidence and degenerate diffusion 2024 Lei Wang
Chunjie Gao
Ramziya Rifhat
Kai Wang
Zhidong Teng
+ Wave-breaking phenomena for a new weakly dissipative quasilinear shallow-water waves equation 2024 Xiaofang Dong
Xianxian Su
Kai Wang
+ Dynamics of a Fokker–Planck type diffusion epidemic model with general incidence and relapse 2024 Qian Ding
Jianshe Yu
Kai Wang
+ Qualitative analysis on a reaction–diffusion SIS epidemic model with nonlinear incidence and Dirichlet boundary 2024 Jianpeng Wang
Kai Wang
Tingting Zheng
Pan Zhou
Zhidong Teng
+ PDF Chat A Markovian regime-switching stochastic SEQIR epidemic model with governmental policy 2024 Hongjie Fan
Kai Wang
Yanling Zhu
+ Asymptotic profiles of a spatial vector‐borne disease model with Fokker–Planck‐type diffusion 2024 Kai Wang
Hongyong Zhao
Hao Wang
+ Inequalities on weighted Paley-Wiener space with respect to doubling weights and A∞ weights 2024 Xuebo Zhai
Kai Wang
Heping Wang
+ Solving the Inverse Problems for Discontinuous Periodic Sturm–Liouville Operator by the Method of Rotation 2024 Ran Zhang
Kai Wang
Chuan‐Fu Yang
+ On the role of advection in a spatial epidemic model with general boundary conditions 2024 Kai Wang
Hao Wang
Hongyong Zhao
+ The Threshold Dynamics in a Stochastic Epidemic Model with Incomplete and Temporal Immunization 2024 Li Wang
Kai Wang
Zhidong Teng
+ Common Difference Schemes for Several Model Equations 2024 Guoxiang Hou
Caikan Chen
Shenglei Qin
Yuan Gao
Kai Wang
+ Stability and Hopf bifurcation for age-structured SVIR epidemic model with different compartment ages and two delays effects 2023 Dandan Sun
Zhidong Teng
Kai Wang
Tailei Zhang
+ PDF Chat Determination of the Impulsive Dirac Systems from a Set of Eigenvalues 2023 Ran Zhang
Chuan‐Fu Yang
Kai Wang
+ Critical travelling waves of a vector-host disease model with spatio-temporal nonlocal effect 2023 Kai Wang
Hongyong Zhao
+ Uniqueness and reconstruction of the periodic Strum–Liouville operator with a finite number discontinuities 2023 Ran Zhang
Kai Wang
Chuan‐Fu Yang
+ PDF Chat Dynamical analysis for a diffusive SVEIR epidemic model with nonlinear incidences 2023 Pan Zhou
Jianpeng Wang
Zhidong Teng
Kai Wang
+ Estimating the serial interval of Marburg virus human-to-human transmission from a case cluster seeded by a cross-border traveller 2023 Zihao Guo
Shi Zhao
Shengzhi Sun
Kai Wang
Jinjun Ran
Daihai He
Yuchen Wei
Huwen Wang
Jie Sun
Ka Chun Chong
+ The bifurcation analysis for a degenerate reaction–diffusion host–pathogen model 2023 Jianpeng Wang
Kai Wang
Lei Wang
Zhidong Teng
+ Dynamics and application of a generalized SIQR epidemic model with vaccination and treatment 2023 Kai Wang
Hongjie Fan
Yanling Zhu
+ Global threshold dynamics of a spatial chemotactic mosquito-borne disease model 2023 Kai Wang
Hao Wang
Hong-yong Zhao
+ Stability and asymptotic properties of the SEQIR epidemic model 2023 Hongjie Fan
Kai Wang
Yanling Zhu
+ Stability and Hopf bifurcation in delayed age-structured SVIR epidemic model with vaccination and incubation 2023 Dandan Sun
Zhidong Teng
Kai Wang
Tailei Zhang
+ Basic reproduction ratio of a mosquito-borne disease in heterogeneous environment 2023 Hongyong Zhao
Kai Wang
Hao Wang
+ Modelling of a drug resistant tuberculosis for the contribution of resistance and relapse in Xinjiang, China 2023 Lei Wang
Zhidong Teng
Ramziya Rifhat
Kai Wang
+ Koszul duality, minimal model and $L_\infty$-structure for differential algebras with weight 2023 Jun Chen
Li Guo
Kai Wang
Guodong Zhou
+ Joint Projective Spectrum of $D_{\infty h}$ 2023 Chen Li
Kai Wang
+ Global dynamics and density function in a class of stochastic SVI epidemic models with LĂŠvy jumps and nonlinear incidence 2022 Xiaodong Wang
Kai Wang
Zhidong Teng
+ Aggregation and classification of spatial dynamics of vector-borne disease in advective heterogeneous environment 2022 Kai Wang
Hao Wang
Hongyong Zhao
+ A stochastic SICA model for HIV/AIDS transmission 2022 Yiping Tan
Yongli Cai
Xiaodan Sun
Kai Wang
Ruoxia Yao
Weiming Wang
Zhihang Peng
+ Spatial Segregation in Reaction-Diffusion Epidemic Models 2022 Hao Wang
Kai Wang
Yong-Jung Kim
+ Stochastic dynamics of an SIS epidemiological model with media coverage 2022 Yiping Tan
Yongli Cai
Xiaoqin Wang
Zhihang Peng
Kai Wang
Ruoxia Yao
Weiming Wang
+ PDF Chat Geometric singular perturbation of a nonlocal partially degenerate model for <i>Aedes aegypti</i> 2022 Kai Wang
Hongyong Zhao
Hao Wang
+ Cohomology theory of Rota-Baxter pre-Lie algebras of arbitrary weights 2022 Shuangjian Guo
Yufei Qin
Kai Wang
Guodong Zhuo
+ The homotopy theory and minimal model of Rota-Baxter algebras of arbitrary weight 2022 Kai Wang
Guodong Zhou
+ Deformations and cohomology theory of Rota-Baxter $3$-Lie algebras of arbitrary weights 2022 Shuangjian Guo
Yufei Qin
Kai Wang
Guodong Zhou
+ Deformations and Cohomology Theory of Rota-Baxter Systems 2022 Yuming Liu
Kai Wang
Liwen Yin
+ A Markovian regime-switching stochastic hybrid time-delayed epidemic model with vaccination 2021 Brahim Boukanjime
Mohamed El-Fatini
Aziz Laaribi
Regragui Taki
Kai Wang
+ PDF Chat Deformations and homotopy theory of Rota-Baxter algebras of any weight 2021 Kai Wang
Guodong Zhou
+ PDF Chat Understanding death risks of Covid-19 under media awareness strategy: a stochastic approach 2021 Regragui Taki
Mohamed El Fatini
Mohamed El Khalifi
Mohammed Lakhal
Kai Wang
+ PDF Chat Extinction and persistence of a stochastic SICA epidemic model with standard incidence rate for HIV transmission 2021 Xiaodong Wang
Chunxia Wang
Kai Wang
+ Free objects and Gr\"obner-Shirshov bases in operated contexts 2021 Zihao Qi
Yufei Qin
Kai Wang
Guodong Zhou
+ Deformations and homotopy theory of Rota-Baxter algebras of any weight 2021 Kai Wang
Guodong Zhou
+ Coordinating Followers to Reach Better Equilibria: End-to-End Gradient Descent for Stackelberg Games 2021 Kai Wang
Lily Xu
Andrew Perrault
Michael Reiter
Milind Tambe
+ PDF Chat Global dynamics of a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage 2020 Xiaodong Wang
Chunxia Wang
Kai Wang
+ PDF Chat Dynamic analysis of an $ SEIR $ epidemic model with a time lag in awareness allocated funds 2020 Riane Hajjami
Mustapha El Jarroudi
Aadil Lahrouz
Adel Settati
Mohamed El Fatini
Kai Wang
+ Modelling the effects of the contaminated environments on tuberculosis in Jiangsu, China 2020 Yongli Cai
Shi Zhao
Yun Niu
Zhihang Peng
Kai Wang
Daihai He
Weiming Wang
+ Blow-up solution near the traveling waves for the second-order Camassa–Holm equation 2020 Danping Ding
Kai Wang
+ A stochastic threshold of a delayed epidemic model incorporating LĂŠvy processes with harmonic mean and vaccination 2020 Mohamed El Fatini
Idriss Sekkak
Aziz Laaribi
Roger Pettersson
Kai Wang
+ The fluctuation impact of human mobility on the influenza transmission 2020 Yongli Cai
Jiaxu Li
Yun Kang
Kai Wang
Weiming Wang
+ Non-constant positive steady states of a host-parasite model with frequency- and density-dependent transmissions 2020 Xinxin Li
Yongli Cai
Kai Wang
Shengmao Fu
Weiming Wang
+ Rigidity of determinantal point processes on the unit disc with sub-Bergman kernels 2020 Yanqi Qiu
Kai Wang
+ High-order Time Stepping Schemes for Semilinear Subdiffusion Equations 2020 Kai Wang
Zhi Zhou
+ Modelling and assessing the effects of medical resources on transmission of novel coronavirus (COVID-19) in Wuhan, China 2020 Liping Wang
Jing Wang
Hongyong Zhao
Yangyang Shi
Kai Wang
Peng Wu
Lei Shi
+ Phase-adjusted estimation of the COVID-19 outbreak in South Korea under multi-source data and adjustment measures: a modelling study 2020 Xiaomei Feng
Jing Chen
Kai Wang
Lei Wang
Fengqin Zhang
Zhen Jin
Lan Zou
Xia Wang
+ Cohomology theory of averaging algebras, $L_\infty$-structures and homotopy averaging algebras 2020 Kai Wang
Guodong Zhou
+ Numerical methods and analysis for some partial differential equations with nonsmooth structure 2020 Kai Wang
+ PDF Chat On the threshold dynamics of the stochastic SIRS epidemic model using adequate stopping times 2019 Adel Settati
Aadil Lahrouz
Mustapha El Jarroudi
Mohamed El Fatini
Kai Wang
+ Exact Hochschild extensions and deformed Calabi-Yau completions 2019 Yang Han
Xin Liu
Kai Wang
+ Optimal harvesting policy of logistic population model in a randomly fluctuating environment 2019 Bin Yang
Yongli Cai
Kai Wang
Weiming Wang
+ Stochastic Nicholson’s blowflies delay differential equation with regime switching 2019 Yanling Zhu
Kai Wang
Yong Ren
Yingdong Zhuang
+ Decay property of solutions near the traveling wave solutions for the second-order Camassa–Holm equation 2019 Danping Ding
Kai Wang
+ PDF Chat Effect of sexual transmission on the West Africa Ebola outbreak in 2014: a mathematical modelling study 2019 Dongmei Luo
Rongjiong Zheng
Duolao Wang
Xueliang Zhang
Yi Yin
Kai Wang
Weiming Wang
+ Global transmission dynamics of a Zika virus model 2019 Yongli Cai
Kai Wang
Weiming Wang
+ Dynamical behaviors of a stochastic malaria model: A case study for Yunnan, China 2019 Lei Wang
Zhidong Teng
Chunyan Ji
Xiaomei Feng
Kai Wang
+ Exact Hochschild extensions and deformed Calabi-Yau completions 2019 Yang Han
Xin Liu
Kai Wang
+ PDF Chat Asymptotic properties of a stochastic Gilpin–Ayala model under regime switching 2018 Kai Wang
Yanling Zhu
+ Dynamics of an epidemic model with delays and stage structure 2017 Juan Liu
Kai Wang
+ PDF Chat Dynamical behaviors of an Echinococcosis
 epidemic model with distributed delays 2017 Kai Wang
Zhidong Teng
Xueliang Zhang
+ Threshold dynamics of a nonlinear multi-group epidemic model with two infinite distributed delays 2016 Xiaomei Feng
Kai Wang
Fengqin Zhang
Zhidong Teng
+ Hopf bifurcation of a delayed SIQR epidemic model with constant input and nonlinear incidence rate 2016 Juan Liu
Kai Wang
+ PDF Chat New results on the stochastic Gilpin-Ayala model with delays 2016 Kai Wang
Yanling Zhu
Hailong Zhu
+ Asymptotic properties of a stochastic Gilpin-Ayala model under regime switching 2016 Kai Wang
Yanling Zhu
+ Global dynamics of an SEIR epidemic model with discontinuous treatment 2015 Tailei Zhang
Ruini Kang
Kai Wang
Junli Liu
+ PDF Chat Modeling and Analyzing the Transmission Dynamics of HBV Epidemic in Xinjiang, China 2015 Tailei Zhang
Kai Wang
Xueliang Zhang
+ PDF Chat Dynamic Analysis of General Integrated Pest Management Model with Double Impulsive Control 2015 Yingke Li
Zhidong Teng
Kai Wang
Ahmadjan Muhammadhaji
+ Supplementary Material to: Realizations of a Special Class of Admittances with Strictly Lower Complexity than Canonical Forms 2015 Michael Z. Q. Chen
Kai Wang
Zhan Shu
Chanying Li
+ Global attractivity of positive periodic solution for a predator–prey model with modified Leslie–Gower Holling-type II schemes and a deviating argument 2014 Kai Wang
Yanling Zhu
+ PDF Chat An NSFD scheme for SIR epidemic models of childhood diseases with constant vaccination strategy 2014 Qianqian Cui
Jiabo Xu
Qiang Zhang
Kai Wang
+ Dynamics of a stochastic predator–prey model with mutual interference 2014 Kai Wang
Yanling Zhu
+ Backward bifurcation and global stability in an epidemic model with treatment and vaccination 2014 Xiaomei Feng
Zhidong Teng
Kai Wang
Fengqin Zhang
+ Permanence and Global Attractivity of a Delayed Predator-Prey Model with Mutual Interference 2013 Kai Wang
Yanling Zu
+ Positive Periodic Solutions for a Predator-prey Model with Modified Leslie-Gower Holling-type II Schemes and a Deviating Argument 2012 Yanling Zhu
Kai Wang
+ PDF Chat Permanence in Multispecies Nonautonomous Lotka-Volterra Competitive Systems with Delays and Impulses 2012 Xiaomei Feng
Fengqin Zhang
Kai Wang
Xiaoxia Li
+ Permanence and Exponential Stability of a Predator-prey Model with HV-Holling Functional Response 2011 Kai Wang
Yanling Zu
+ PDF Chat Permanence for a Delayed Nonautonomous SIR Epidemic Model with Density-Dependent Birth Rate 2011 LI Ying-ke
Chen Liang
Kai Wang
+ Permanence and global stability for nonautonomous N-species Lotka–Volterra competitive system with impulses and infinite delays 2010 Hongxiao Hu
Kai Wang
Dan Wu
+ Uniform estimates for a family of Eulerian-Lagrangian methods for time-dependent convection-diffusion equations with degenerate diffusion 2010 Kai Wang
Haijin Wang
+ Permanence and global asymptotical stability of a predator–prey model with mutual interference 2010 Kai Wang
+ Periodic Solutions for a Third-order p-Laplacian Functional Differential Equation 2010 Yanling Zhu
Kai Wang
+ Periodic solutions to a delayed predator–prey model with Hassell–Varley type functional response 2010 Kai Wang
+ PDF Chat Global Behaviors of a Chemostat Model with Delayed Nutrient Recycling and Periodically Pulsed Input 2010 Kai Wang
Zhidong Teng
Fengqin Zhang
+ Global behaviors of Monod type chemostat model with nutrient recycling and impulsive input 2009 Zhidong Teng
Rong Gao
Mehbuba Rehim
Kai Wang
+ On the existence of periodic solutions for a kind of high-order neutral functional differential equation 2006 Kai Wang
Shiping Lu
+ On Maillet determinant 1984 Kai Wang
+ PDF Chat Locally smooth torus group actions on integral cohomology complex projective spaces 1981 Kai Wang
+ PDF Chat On the homology of weighted homogeneous manifolds 1978 Kai Wang
+ PDF Chat On the Homology of Weighted Homogeneous Manifolds 1978 Kai Wang
+ PDF Chat Torus Actions on Cohomological Complex Projective Spaces 1977 Kai Wang
+ PDF Chat Torus actions on cohomological complex projective spaces 1977 Kai Wang
+ PDF Chat Decomposability of Homotopy Lens Spaces and Free Cyclic Group Actions on Homotopy Spheres 1976 Kai Wang
+ Differentiable circle group actions on homotopy complex projective spaces 1975 Kai Wang
+ DifferentiableS 1 actions on homotopy spheres 1974 Kai Wang
+ PDF Chat Free 𝑆¹ actions and the group of diffeomorphisms 1974 Kai Wang
+ Semifree actions on homotopy spheres 1974 Kai Wang
+ PDF Chat Differentiable actions of $S^1$ and $S^3$ on homotopy spheres 1973 Kai Wang
+ PDF Chat Decomposability of homotopy Lens spaces 1973 Kai Wang
+ Free and semi-free smooth actions of S1 and S3 on homotopy spheres 1972 Kai Wang
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission 2002 P. van den Driessche
James Watmough
16
+ Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models 2012 Wendi Wang
Xiao‐Qiang Zhao
13
+ PDF Chat On the definition and the computation of the basic reproduction ratio R 0 in models for infectious diseases in heterogeneous populations 1990 Odo Diekmann
Hans Heesterbeek
J.A.J. Metz
12
+ PDF Chat An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations 2001 Desmond J. Higham
10
+ Environmental Brownian noise suppresses explosions in population dynamics 2002 Xuerong Mao
Glenn Marion
Eric Renshaw
8
+ On the Basic Reproduction Number of Reaction-Diffusion Epidemic Models 2019 Pierre Magal
Glenn F. Webb
Yixiang Wu
7
+ A stochastic epidemic model incorporating media coverage 2016 Yongli Cai
Yun Kang
Malay Banerjee
Weiming Wang
7
+ A stochastic SIRS epidemic model with infectious force under intervention strategies 2015 Yongli Cai
Yun Kang
Malay Banerjee
Weiming Wang
6
+ Spatial Segregation in Reaction-Diffusion Epidemic Models 2022 Hao Wang
Kai Wang
Yong-Jung Kim
6
+ Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model 2008 Linda J. S. Allen
Benjamin M. Bolker
Yuan Lou
Andrew L. Nevai
6
+ Dynamics and profiles of a diffusive host–pathogen system with distinct dispersal rates 2018 Yixiang Wu
Xingfu Zou
6
+ Free Z2 and Z3 actions on homotopy spheres 1968 G. R. Livesay
C. B. Thomas
6
+ Dynamics and asymptotic profiles of steady states of an epidemic model in advective environments 2017 Renhao Cui
King‐Yeung Lam
Yuan Lou
5
+ A generalization of the Kermack-McKendrick deterministic epidemic model 1978 Vincenzo Capasso
Gabriella Serio
5
+ PDF Chat Asymptotic Profiles of Basic Reproduction Number for Epidemic Spreading in Heterogeneous Environment 2020 Shanshan Chen
Junping Shi
5
+ Threshold dynamics of a time periodic reaction–diffusion epidemic model with latent period 2015 Liang Zhang
Zhi-Cheng Wang
Xiao‐Qiang Zhao
5
+ PDF Chat Surgery on Compact Manifolds 1999 C. T. C. Wall
5
+ PDF Chat A spatial SEIRS reaction-diffusion model in heterogeneous environment 2019 Pengfei Song
Yuan Lou
Yanni Xiao
5
+ Delay differential equations with applications in population dynamics 1993 Yang Kuang
5
+ On the global attractivity for a reaction–diffusion malaria model with incubation period in the vector population 2022 Ran Zhang
Jinliang Wang
5
+ The Mathematics of Infectious Diseases 2000 Herbert W. Hethcote
5
+ Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity 2009 Horst R. Thieme
5
+ Bifurcations in an epidemic model with constant removal rate of the infectives 2004 Wendi Wang
Shigui Ruan
4
+ Introduction to Reaction-Diffusion Equations 2022 King‐Yeung Lam
Yuan Lou
4
+ Surgery and the Theory of Differentiable Transformation Groups 1968 William Browder
4
+ Basic reproduction ratio of a mosquito-borne disease in heterogeneous environment 2023 Hongyong Zhao
Kai Wang
Hao Wang
4
+ PDF Chat Dynamical behavior of an epidemic model with a nonlinear incidence rate 2003 Shigui Ruan
Wendi Wang
4
+ A Nonlocal and Time-Delayed Reaction-Diffusion Model of Dengue Transmission 2011 Wendi Wang
Xiao‐Qiang Zhao
4
+ Threshold behavior in a stochastic SIQR epidemic model with standard incidence and regime switching 2017 Qun Liu
Daqing Jiang
Ningzhong Shi
4
+ Existence and global attractivity of positive periodic solutions of periodic n-species Lotka–Volterra competition systems with several deviating arguments 1999 Meng Fan
Ke Wang
Daqing Jiang
4
+ Dynamic behavior of a stochastic SIQS epidemic model with Lévy jumps 2018 Xiao‐Bing Zhang
Qihong Shi
Shuang-Hong Ma
Hai‐Feng Huo
Dungang Li
4
+ A Note on Free Differentiable Actions of S 1 and S 3 on Homotopy Spheres 1966 W. C. Hsiang
4
+ Spatiotemporal transmission dynamics for influenza disease in a heterogenous environment 2018 Yongli Cai
Xinze Lian
Zhihang Peng
Weiming Wang
4
+ Lectures on entire functions 1996 B. Yu. Levin
3
+ A Two-Strain Tuberculosis Model with Age of Infection 2002 Zhi‐Yong Feng
Mimmo Iannelli
Fabio Milner
3
+ Existence and global asymptotic stability of positive periodic solution for a Predator–Prey system with mutual interference 2008 Kai Wang
3
+ Convergence results and a Poincarďż˝-Bendixson trichotomy for asymptotically autonomous differential equations 1992 HorstR. Thieme
3
+ The permanence and global attractivity of Lotka–Volterra competition system with feedback controls 2005 Fengde Chen
3
+ Nonautonomous Lotka–Volterra Systems with Delays 2002 Zhidong Teng
3
+ Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation 1998 Adrian Constantin
Joachim Escher
3
+ Inverse problems for nonabsorbing media with discontinuous material properties 1982 Robert J. Krueger
3
+ PDF Chat Global Models of Growth and Competition 1973 Michael E. Gilpin
Francisco J. Ayala
3
+ PDF Chat Wave breaking for nonlinear nonlocal shallow water equations 1998 Adrian Constantin
Joachim Escher
3
+ Stability of peakons 2000 Adrian Constantin
Walter A. Strauss
3
+ PDF Chat An integrable shallow water equation with peaked solitons 1993 Roberto Camassa
Darryl D. Holm
3
+ Discontinuous inverse eigenvalue problems 1984 Ole H. Hald
3
+ Dissipativity and global attractors for a class of quasilinear parabolic systems 1997 Dung Le
3
+ Dynamical systems and stability 1969 Jack K. Hale
3
+ Stationary distribution of stochastic population systems 2011 Xuerong Mao
3
+ Global Attractors and Steady States for Uniformly Persistent Dynamical Systems 2005 Pierre Magal
Xiaoqiang Zhao
3