Global Stability for Delay SIR and SEIR Epidemic Models with Nonlinear Incidence Rate

Type: Article

Publication Date: 2010-01-20

Citations: 191

DOI: https://doi.org/10.1007/s11538-009-9487-6

Locations

  • Bulletin of Mathematical Biology - View
  • Shizuoka University Repository (Shizuoka University) - View - PDF
  • PubMed - View

Similar Works

Action Title Year Authors
+ Global stability for an SIR epidemic model with delay and nonlinear incidence 2009 C. Connell McCluskey
+ Global stability for delay SIR and SEIR epidemic models with saturated incidence rates 2012 Abdelhadi Abta
Abdelilah Kaddar
Hamad Talibi Alaoui
+ Global stability of a SIR epidemic model with nonlinear incidence rate and time delay 2008 Rui Xu
Zhien Ma
+ GLOBAL STABILITY OF AN SIRS EPIDEMIC MODEL WITH DELAYS 2006 Zhen Jin
Zhien Ma
Maoan Han
+ Global stability of an SIR epidemic model with time delays 1995 Edoardo Beretta
Yasuhiro Takeuchi
+ GLOBAL STABILITY OF SIRS EPIDEMIC MODELS WITH A CLASS OF NONLINEAR INCIDENCE RATES AND DISTRIBUTED DELAYS 2012 Yoichi
Enatsu
Yukihiko
Nakata
Yoshiaki
Muroya
+ Global stability of a diffused SIR epidemic model with general incidence rate and time delay 2016 El Mehdi Lotfi
Mehdi Maziane
Marouane Mahrouf
Khalid Hattaf
Noura Yousfi
+ Stability of a delayed SIRS epidemic model with a nonlinear incidence rate 2008 Rui Xu
Zhien Ma
+ Global stability of a delayed SEIRS epidemic model with saturation incidence rate 2010 Rui Xu
Zhien Ma
+ Global stability for an special SEIR epidemic model with nonlinear incidence rates 2006 Chengjun Sun
Yiping Lin
Shoupeng Tang
+ Global stability of multi-group SEIR epidemic models with distributed delays and nonlinear transmission 2011 Hongying Shu
Dejun Fan
Junjie Wei
+ PDF Chat Global dynamics of a delayed SIRS epidemic model with a wide class of nonlinear incidence rates 2011 Yoichi Enatsu
Eleonora Messina
Yukihiko Nakata
Yoshiaki Muroya
E. Russo
Antonia Vecchio
+ PDF Chat Global analysis on delay epidemiological dynamic models with nonlinear incidence 2010 Gang Huang
Yasuhiro Takeuchi
+ Global asymptotic stability of an SIR epidemic model with distributed time delay 2001 Edoardo Beretta
Tadayuki Hara
Wanbiao Ma
Yasuhiro Takeuchi
+ On the Lyapunov stability for SIRS epidemic models with general nonlinear incidence rate 2010 Bruno Buonomo
Salvatore Rionero
+ Global dynamics of an SVEIR epidemic model with distributed delay and nonlinear incidence 2016 Lianwen Wang
Zhijun Liu
Xingan Zhang
+ Global asymptotic stability of a delayed SEIRS epidemic model with saturation incidence 2006 Tailei Zhang
Zhidong Teng
+ Threshold Dynamics of an SIR Epidemic Model with Nonlinear Incidence Rate and Non-Local Delay Effect 2018 Shuangming Wang
+ Stability and extinction of SEIR epidemic models with generalized nonlinear incidence 2019 Fengying Wei
Rui Xue
+ Global Stability of a Vector-Borne Epidemic Model With Distributed Delay and Nonlinear Incidence 2013 Yang Ya-l

Works That Cite This (161)

Action Title Year Authors
+ PDF Chat Threshold Dynamics of a Stochastic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>S</mml:mi><mml:mi>I</mml:mi><mml:mi>R</mml:mi></mml:math> Model with Vertical Transmission and Vaccination 2017 Anqi Miao
Jian Zhang
Tongqian Zhang
B. G. Sampath Aruna Pradeep
+ A dynamic model for infectious diseases: The role of vaccination and treatment 2015 P. Raja Sekhara Rao
M. Naresh Kumar
+ PDF Chat Wave phenomena in a compartmental epidemic model with nonlocal dispersal and relapse 2021 Jia‐Bing Wang
Shao-Xia Qiao
Chufen Wu
+ PDF Chat Design and analysis of a discrete method for a time‐delayed reaction–diffusion epidemic model 2020 Jorge E. Macías‐Díaz
Nauman Ahmed
Muhammad Jawaz
Muhammad Rafiq
M. A. Rehman
+ PDF Chat A Fractional-Order Epidemic Model with Quarantine Class and Nonmonotonic Incidence: Modeling and Simulations 2022 Anil Kumar Rajak
Nilam
+ A study on the stability behavior of an epidemic model with ratio-dependent incidence and saturated treatment 2020 Abhishek Kumar
Manoj Kumar
Nilam
+ On the global stability of seirs models in epidemiology 2012 Yuanji Cheng
Yang Xiu-xiang
+ A deterministic time-delayed SIR epidemic model: mathematical modeling and analysis 2019 Abhishek Kumar
Kanica Goel
Nilam
+ Global behavior of Heroin epidemic model with time distributed delay and nonlinear incidence function 2021 Salih Djilali
Soufiane Bentout
Tarik Mohammed Touaoula
Abdessamad Tridane
Sunil Kumar
+ Dynamic Behavior of an SIR Epidemic Model along with Time Delay; Crowley–Martin Type Incidence Rate and Holling Type II Treatment Rate 2019 Abhishek Kumar
Nilam