Permanence and stability in non-autonomous predator–prey Lotka–Volterra systems with feedback controls

Linfei Nie, Zhidong Teng, Lin Hu, Jigen Peng

Type: Article

Publication Date: 2009-06-10

Citations: 18

DOI: https://doi.org/10.1016/j.camwa.2009.04.014

View Publication

Locations

Computers & Mathematics with Applications - View

Similar Works

Action	Title	Year	Authors
+	The Permanence of a Ratio-Dependent Lotka-Volterra Predator-Prey Model with Feedback Control	2013	Chang You Wang Xiang Wei Li Hong Yuan
+	PERMANENCE IN GENERAL NON-AUTONOMOUS LOTKA–VOLTERRA PREDATOR–PREY SYSTEMS WITH DISTRIBUTED DELAYS AND IMPULSES	2013	Ahmadjan Muhammadhaji Zhidong Teng Long Zhang
+ PDF Chat	PERMANENCE OF A LOTKA-VOLTERRA RATIO-DEPENDENT PREDATOR-PREY MODEL WITH FEEDBACK CONTROLS AND PREY DIFFUSION	2023	Shuang Pan Yonghong Li Changyou Wang
+ PDF Chat	Well-posedness of a ratio-dependent Lotka–Volterra system with feedback control	2018	Changyou Wang Yuqian Zhou Yonghong Li Rui Li
+	Permanence in nonautonomous Lotka–Volterra system with predator–prey	2003	Zhao Jian-dong Jifa Jiang
+	Permanence and global stability of nonautonomous Lotka–Volterra system with predator–prey and deviating arguments	2005	Fengde Chen
+	Persistence and Global Stability of Lotka-Volterra Predator-prey System with Time Delay	2009	Guo Xiu-wei
+ PDF Chat	Permanence and global attractivity in a discrete Lotka-Volterra predator-prey model with delays	2014	Changjin Xu Yusen Wu Lin Lu
+	Permanence and stability of multi-species nonautonomous Lotka--Volterra competitive systems with delays and feedback controls on time scales	2021	Mahammad Khuddush K. R. Prasad
+	Stability in predator-prey system Lotka-Volterra model incorporating a prey refuge like the law of mass action	2018	Edilber Almanza-Vasquez Ruben-Dario Ortiz-Ortiz Ana-Magnolia Marin-Ramirez
+	Permanence in nonautonomous multi-species predator–prey system with feedback controls	2005	Fengde Chen
+	A necessary and sufficient condition for global asymptotic stability of time-varying Lotka–Volterra predator–prey systems	2015	Wei Xing Zheng Jitsuro Sugie
+	Permanence criteria in non-autonomous predator–prey Kolmogorov systems and its applications	2004	Zhidong Teng Zhiming Li Haijun Jiang
+	Asymptotic behaviour of solutions of a Lotka-Volterra system	2015	Nguyen Thi Hoai Linh Ta Hong Quang Tạ Việt Tôn
+	Persistence of delayed non-autonomous predator-prey system	2007	Liang Gui-zhen
+ PDF Chat	Dynamic behaviors of a Lotka-Volterra predator-prey model incorporating a constant number of prey refuge and feedback controls	2017	Xiaojie Gong Xiangdong Xie
+	Permanence of a Predator-Prey System with Feedback Controls	2014	HE Wei-lia
+ PDF Chat	Globally Attractive of a Ratio-Dependent Lotka-Volterra Predator-Prey Model with Feedback Control	2016	Changyou Wang
+	Permanence and global stability for general Lotka–Volterra predator–prey systems with distributed delays	2001	Yasuhisa Saito
+	Permanence and stability in multi-species non-autonomous Lotka–Volterra competitive systems with delays and feedback controls	2008	Linfei Nie Jigen Peng Zhidong Teng

Works That Cite This (12)

Action	Title	Year	Authors
+	Persistence of a Lotka-volterra Ratio-dependent Predator-prey Model with Delays and Feedback Controls	2020	Lili Jia Changyou Wang
+	The effects of migratory bird population in a nonautonomous eco-epidemiological model	2012	Shujing Gao Fu‐Min Zhang Yuying He
+	Positive periodic solutions for the neutral ratio-dependent predator–prey model	2010	Fengqin Zhang Chongwu Zheng
+ PDF Chat	Successive Vaccination and Difference in Immunity of a Delay SIR Model with a General Incidence Rate	2014	Yongzhen Pei Changguo Li Qianyong Wu Yunfei Lv
+ PDF Chat	Globally Attractive of a Ratio-Dependent Lotka-Volterra Predator-Prey Model with Feedback Control	2016	Changyou Wang
+	The Permanence of a Ratio-Dependent Lotka-Volterra Predator-Prey Model with Feedback Control	2013	Chang You Wang Xiang Wei Li Hong Yuan
+	On a Multi-Delay Lotka-Volterra Predator-Prey Model with Feedback Controls and Prey Diffusion	2019	Changyou Wang Nan Li Yuqian Zhou Xingcheng Pu Rui Li
+	Global dissipativity of stochastic Lotka–Volterra system with feedback controls	2016	Qimin Zhang Zhang Xin-jing Hongfu Yang
+	An algorithm for approximate calculation of the attainable sets of the nonlinear control systems with integral constraint on controls	2011	Khalik G. Guseinov Ali S. Nazlipinar
+	Positive periodic solutions of neutral predator–prey model with Beddington–DeAngelis functional response	2010	Guirong Liu Jurang Yan

Works Cited by This (18)

Action	Title	Year	Authors
+	Delay differential equations with applications in population dynamics	1993	Yang Kuang
+ PDF Chat	The periodic predator-prey Lotka-Volterra model	1996	Julián López-Gómez Rafael Ortega Antonio Tineo
+	Uniform persistence of the periodic predator-prey lotka-volterra systems	1999	Zhidong Teng
+	Permanence and periodic solution in competitive system with feedback controls	1998	Xiao Yanni Sanyi Tang Jufang Chen
+	Positive periodic solutions of a class of functional differential systems with feedback controls	2004	Yongkun Li Ping Liu Lifei Zhu
+	Almost periodic solutions of n-species competitive system with feedback controls	2004	Yonghui Xia Jinde Cao Huiying Zhang Fengde Chen
+	Almost-periodic solutions of a delay population equation with feedback control	2005	Xiaoxing Chen Fengde Chen
+	Existence and global stability of positive periodic solution of periodic integrodifferential systems with feedback controls	2000	Peixuan Weng
+	Positive periodic solutions of a class of delay differential system with feedback control	2003	Hai‐Feng Huo Wan–Tong Li
+	The extinction in nonautonomous prey-predator Lotka-Volterra systems	1999	Zhidong Teng YU Yuan-hong