Periodic solutions of a discrete-time diffusive system governed by backward difference equations

Dai, Binxiang; Zou, Jiezhong

doi:10.1155/ade.2005.263

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Cited by 5 publications

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“…China. 2 School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, 471023, P.R. China.…”

Section: Numerical Examplementioning

confidence: 99%

Permanence and global attractivity in a discrete Lotka-Volterra predator-prey model with delays

2014

Adv Differ Equ

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In this paper, we deal with a discrete Lotka-Volterra predator-prey model with time-varying delays. For the general non-autonomous case, sufficient conditions which ensure the permanence and global stability of the system are obtained by using differential inequality theory. For the periodic case, sufficient conditions which guarantee the existence of a unique globally stable positive periodic solution are established. The paper ends with some interesting numerical simulations that illustrate our analytical predictions. MSC: 34K20; 34C25; 92D25

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“…China. 2 School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, 471023, P.R. China.…”

Section: Numerical Examplementioning

confidence: 99%

Permanence and global attractivity in a discrete Lotka-Volterra predator-prey model with delays

2014

Adv Differ Equ

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“…That is, following the methods in [5], [24], we derive a discrete analogue of (1.2), apply Mawhin's continuous theorem [8] and the method of Lyapunov function to study the existence and globally asymptotic stability of positive periodic solutions of the discrete analogue of (1.2). There are some papers which deal with this topic, see [3], [4], [9], [22], [23], [25], [26], [27], [28].…”

Section: Introductionmentioning

confidence: 99%