DYNAMICS OF PREDATOR-PREY MODELS WITH REFUGE, HARVESTING AND DISPERSAL

被引：2
|
作者：
Hare, A. [1 ]
Rebaza, J. [2 ]
机构：
[1] Univ Kentucky, Dept Math, Lexington, KY 40506 USA
[2] Missouri State Univ, Dept Math, Springfield, MO USA
来源：
QUAESTIONES MATHEMATICAE | 2015年 / 38卷 / 03期
关键词：
Population models; stability; refuge; dispersal; bifurcations; SUSTAINABLE-YIELD POLICY; IMPACTS;
D O I：
10.2989/16073606.2015.1026559
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The dynamics of predator-prey models with different prey harvesting functions and prey refuge is studied. This study includes a three-dimensional model to account for the dispersal of prey to a habitat where it is unavailable to the predator. Besides local stability analysis, one central question is how harvesting, refuge and dispersal could directly affect the dynamics of the ecosystem, such as existence and dynamics of coexistence equilibria and periodic solutions. Theoretical and numerical methods are used to prove the existence and to study the role played by several bifurcations in the mathematical models.
引用
收藏
页码：369 / 383
页数：15
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