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Applicable Analysis
An International Journal
Volume 34, 1989 - Issue 1-2
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Original Articles

Asymptotic behavior of predator–prey system with time dependent coefficients

Ma Zhien Department of Mathematics, Xian Jiaotong University, Xian, China
&
Wang Wendi Department of Mathematics, Southwest Normal University, Chongqing, China
Pages 79-90 | Published online: 02 May 2007

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Read on this site (3)

Zhengyi Lu. (2001) An extension of kamake theorem and periodic lotka-volterra systems with diffusion. Applicable Analysis 79:3-4, pages 293-300.
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Teng Zhidong. (1999) Uniform persistence of the periodic predator-prey lotka-volterra systems. Applicable Analysis 72:3-4, pages 339-352.
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Antonio Tineo. (1994) Nonautonomous n-species competing problems. Applicable Analysis 53:1-2, pages 97-106.
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Articles from other publishers (20)

Reny George, Zoran D. Mitrović, Ali Turab, Ana Savić & Wajahat Ali. (2022) On a Unique Solution of a Class of Stochastic Predator–Prey Models with Two-Choice Behavior of Predator Animals. Symmetry 14:5, pages 846.
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Wantao Jia, Yong Xu, Dongxi Li & Rongchun Hu. (2021) Stochastic Analysis of Predator–Prey Models under Combined Gaussian and Poisson White Noise via Stochastic Averaging Method. Entropy 23:9, pages 1208.
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Shekhar Singh Negi, Syed Abbas & Muslim Malik. (2020) Periodic Solutions of the N-Preys and M-Predators Model with Variable Rates on Time Scales. Indian Journal of Pure and Applied Mathematics 51:3, pages 945-967.
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Fancheng Yin & Xiaoyan Yu. (2015) The Stationary Distribution and Extinction of Generalized Multispecies Stochastic Lotka-Volterra Predator-Prey System. Mathematical Problems in Engineering 2015, pages 1-10.
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Yongkun Li, Kaihong Zhao & Yuan Ye. (2011) Multiple positive periodic solutions of species delay competition systems with harvesting terms. Nonlinear Analysis: Real World Applications 12:2, pages 1013-1022.
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Yongkun Li. (2008) Positive periodic solutions of periodic neutral Lotka–Volterra system with distributed delays. Chaos, Solitons & Fractals 37:1, pages 288-298.
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Yonghui Xia, Jinde Cao & Sui Sun Cheng. (2007) Multiple periodic solutions of a delayed stage-structured predator–prey model with non-monotone functional responses. Applied Mathematical Modelling 31:9, pages 1947-1959.
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Zhijun Liu, Ronghua Tan & Lansun Chen. (2007) Global stability in a periodic delayed predator–prey system. Applied Mathematics and Computation 186:1, pages 389-403.
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Zhenkun Huang, Xinghua Wang & Yonghui Xia. (2007) A Predator–Prey system with anorexia response. Nonlinear Analysis: Real World Applications 8:1, pages 1-19.
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Yonghui Xia & Jinde Cao. (2006) Global attractivity of a periodic ecological model with m-predators and n-preys by “Pure-delay type” system. Computers & Mathematics with Applications 52:6-7, pages 829-852.
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Zhenkun Huang, Fengde Chen & Xinghua Wang. (2006) A Predator–Prey system with viral infection and anorexia response. Applied Mathematics and Computation 175:2, pages 1455-1483.
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Yonghui Xia & Jinde Cao. (2005) Almost Periodicity in an Ecological Model with M-Predators and N-Preys by ?Pure-Delay Typ? System. Nonlinear Dynamics 39:3, pages 275-304.
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Yonghui Xia, Fengde Chen, Anping Chen & Jinde Cao. (2004) Existence and global attractivity of an almost periodic ecological model. Applied Mathematics and Computation 157:2, pages 449-475.
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Hai-Feng Huo & Wan-Tong Li. (2004) Periodic solutions of a periodic Lotka–Volterra system with delays. Applied Mathematics and Computation 156:3, pages 787-803.
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Wu-jun Sun, Zhi-dong Teng & Yuan-hong Yu. (2002) Permanence in Nonautonomous Predator-prey Lotka-Voterra Systems. Acta Mathematicae Applicatae Sinica, English Series 18:3, pages 411-422.
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Teng Zhidong & Yu Yuanhong. (1999) The extinction in nonautonomous prey-predator Lotka-Volterra systems. Acta Mathematicae Applicatae Sinica 15:4, pages 401-408.
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Yang Pinghua & Xu Rui. (1999) Global Attractivity of the Periodic Lotka–Volterra System. Journal of Mathematical Analysis and Applications 233:1, pages 221-232.
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. 1996. World Congress of Nonlinear Analysts '92. World Congress of Nonlinear Analysts '92 395 406 .
Wendi Wang & Zhien Ma. (1994) Permanence of populations in a polluted environment. Mathematical Biosciences 122:2, pages 235-248.
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Philip Korman. (1994) On the dynamics of two classes of periodic ecological models. Journal of Computational and Applied Mathematics 52:1-3, pages 267-275.
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