山西大学学报（自然科学版）2025，Vol.48Issue(6)：1132-1141,10.DOI:10.13451/j.sxu.ns.2024015
具有食饵扩散损耗的时滞捕食种群模型
On a Predator-prey Model with Delay and Population Loss During the Dispersal of Prey
摘要
Abstract
In this paper,we considered a class of predator-prey model with the dispersal and the population loss during the dispersal of the prey.We discussed the effect of the dispersal rate,dispersal delay and population loss on the stability of the symmetric coexis-tence equilibrium by using stability theory and eigenvalue theory.We obtained that the dispersal of the prey did not affect the stabili-ty of the symmetric coexistence equilibrium,but it can induce stability switches under certain conditions,leading that an otherwise unstable symmetric coexistence equilibrium can be stabilized over a finite number of intervals.Finally,numerical simulations are presented to demonstrate the correctness of our conclusions.The number of stable intervals under the satisfied conditions and the corresponding numerical solutions of the model are given.In addition,we simulated the effect of dispersal and population loss on the existence and stability of the symmetric coexistence equilibrium by Matlab.关键词
捕食-食饵模型/斑块/扩散/时滞/稳定性Key words
predator-prey model/patch/dispersal/delay/stability分类
数学引用本文复制引用
买阿丽,孙国伟..具有食饵扩散损耗的时滞捕食种群模型[J].山西大学学报（自然科学版）,2025,48(6):1132-1141,10.基金项目
国家自然科学基金(12101547 （）
12071418) （）
山西省回国留学人员科研资助项目(2021-149) （2021-149）
山西省重点扶持学科计算机科学与技术 （）
运城学院学科建设项目(XK2023-004) （XK2023-004）
