Global Stability of a Stage-Structured Predator-Prey Model with Stochastic Perturbation | Zendy

Liu Yang | Zendy; Shouming Zhong | Zendy

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Global Stability of a Stage-Structured Predator-Prey Model with Stochastic Perturbation

Author(s) -

Liu Yang,

Shouming Zhong

Publication year - 2014

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2014/512817

Subject(s) - predation , perturbation (astronomy) , stability (learning theory) , mathematics , equilibrium point , predator , mathematical optimization , stochastic modelling , mathematical economics , control theory (sociology) , computer science , statistical physics , ecology , statistics , mathematical analysis , biology , differential equation , physics , artificial intelligence , control (management) , quantum mechanics , machine learning

This paper is concerned with a new predator-prey model with stage structure on prey, in which the immature prey and the mature prey are preyed on by predator. We think that the model is more realistic and interesting than the one in which only the immature prey or the mature prey is consumed by predator. Our work shows that the stochastic model and its corresponding deterministic system have a unique global positive solution and the positive solution is global asymptotic stability for each model. If the positive equilibrium point of the deterministic system is globally stable, then the stochastic model will preserve the nice property provided that the noiseis sufficiently small. Results are analyzed with the help of graphical illustrations

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