WU Luoyi.Qualitative analysis of a Leslic - Gower type predator - prey model with additional food[J].Journal of Yanbian University,2022,(02):118-122,137.
一类具有附加食物的Leslic - Gower捕食者-食饵模型的定性分析
- Title:
- Qualitative analysis of a Leslic - Gower type predator - prey model with additional food
- 文章编号:
- 1004-4353(2022)02-0118-06
- 分类号:
- O175
- 文献标志码:
- A
- 摘要:
- 研究了一类具有附加食物的Leslie - Gower捕食者-食饵模型平衡点的局部与全局渐进稳定性及其非双曲平衡点的分支行为,并利用数值模拟验证了所得结论的正确性.该研究结果可为应用额外食物进行生物防治提供参考.
- Abstract:
- The locally and globally asymptotic stability of equilibria and bifurcation behavior of non - hyperbolic equilibria are studiedin a class of Leslie - Gower type predator - prey model with additional food. The numerical simulation is given to show the validity of the obtained conditions.The results can provide a reference for the design of biological control methods to use additional food.
参考文献/References:
[1] FREEDMAN H I.Deterministic Mathematical Models in Population Ecology[M].New York: Marcel Dekker, 1980:119.
[2] LESLIE P H, GOWER J C.The properties of a stochastic model for the predator - prey type of interaction between two species[J].Biometrika, 1960,47:219 - 234.
[3] HSU S B, HUANG T W. Global stability for a class of predator - prey system[J].SIAMJ Appl Math, 1995,55:763-783.
[4] HUANG J, RUAN S, SONG J.Bifurcations in a predator - prey system of Leslie type withgeneralized Holling type III functional response[J].J Differential Equations, 2013,257:1721 - 1752.
[5] 张丽娜,李月霞.修正的Leslie - Gower捕食者 - 食饵扩散模型正平衡点的全局渐近稳定[J].应用数学,2014,27(2):381 - 386.
[6] 鲁引儿,徐菲,张丽娜.具有非线性收获的Leslie - Gower捕食者- 食饵扩散模型的Hopf分支分析[J].高校应用数学学报A辑,2019,34(1):101 - 106.
[7] BASHEER A, QUANSAH E, PARSHAD R.The effffect of additional food in Holling Tanner type models[J].Int J Dyn Control, 2019,7:1195 - 1212.
[8] PERKO L.Differential Equations and Dynamical Systems, in Texts in Applied Mathematics[M].New York: Springer - Verlag, 2001:338.
相似文献/References:
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[2]刘英姿,李忠,何梦昕.具有恐惧效应和食饵避难所的Leslie - Gower捕食者-食饵模型的动力学分析[J].延边大学学报(自然科学版),2022,(02):112.
LIU Yingzi,LI Zhong,HE Mengxin.Dynamics analysis of a Leslie - Gower type predator - prey model with fear effect and prey refuge[J].Journal of Yanbian University,2022,(02):112.
备注/Memo
收稿日期: 2022-04-23
基金项目: 福建省自然科学基金(2021J011148)
作者简介: 吴罗义(1978—),男,硕士,讲师,研究方向为生物数学.