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- Title
具有防御能力的 Leslie-Gower 捕食食饵模型的 平衡态正解分析.
- Authors
王利娟; 杨佳娆; 姜洪领; 金 露; 杨 帆
- Abstract
Monod-Haldane functional response function is introduced into Leslie-Gower predator-prey model under the homogeneous Dirichlet boundary condition, the influence of the defensive ability of prey on the positive equilibrium solution of the predator prey system is studied. A priori estimate, sufficient and necessary conditions for the existence and local stability of the positive equilibrium solution are established by using the maximum principle, the super and sub-solution method, bifurcation theory and stabili- ty theory. Combined with numerical simulation, the positive equilibrium solution is quantitatively ana- lyzed. The research shows that as long as the intrinsic growth rate of prey and predator is greater than a certain constant the coexistence mode can be generated. At the same time, the defense ability of prey has an inhibitory effect on the predator; especially when the prey has a higher growth rate, the ability of prey to resist the predator is stronger.
- Subjects
PREDATION; BIFURCATION theory; COMPUTER simulation; NUMERICAL functions; EQUILIBRIUM
- Publication
Journal of Xi'an Polytechnic University, 2024, Vol 38, Issue 4, p133
- ISSN
1674-649X
- Publication type
Article
- DOI
10.13338/j.issn.1674-649x.2024.04.017