Incorporating prey refuge into a predator-prey system with imprecise parameter estimates

被引：21

作者：

Wang, Qinglong ^{[1
]}

Liu, Zhijun ^{[2
]}

Zhang, Xingan ^{[1
]}

Cheke, Robert A. ^{[3
]}

机构：

[1] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China

[2] Hubei Univ National, Dept Math, Enshi 445000, Hubei, Peoples R China

[3] Univ Greenwich Medway, Nat Resources Inst, Cent Ave, Chatham ME4 4TB, Kent, England

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2017年 / 36卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Predator-prey system; Refuge; Interval number; Equilibrium; Stability; Optimal harvesting policy; OPTIMAL HARVESTING POLICY; QUALITATIVE-ANALYSIS; COMPETITIVE SYSTEM; MODEL; STABILITY; DYNAMICS;

D O I：

10.1007/s40314-015-0282-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article is concerned with the optimal harvesting of a predator-prey model with a prey refuge and imprecise biological parameters. We consider the model under impreciseness and introduce a parametric functional form of an interval which differs from those of models with precise biological parameters. The existence of all possible equilibria and stability of system are discussed. The bionomic equilibrium of the model is analyzed. Also, the optimal harvesting policy is derived using Pontryagin's maximal principle. Numerical simulations are presented to verify the feasibilities of our analytical results.

引用

页码：1067 / 1084

页数：18

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