污染环境下具有混合功能反应的随机带Levy跳食物链模型  

A Stochastic Food Chain Model with Mixed Functional Responses and Levy Jumps in Contaminated Environments

作　　者：钟颖 韦煜明 ZHONG Ying;WEI Yu-ming(School of Mathematics and Statistics,Guangxi Normal University,Guilin 541006,China)

机构地区：[1]广西师范大学数学与统计学院,广西桂林541006

出　　处：《南宁师范大学学报（自然科学版）》2023年第1期43-56,共14页Journal of Nanning Normal University：Natural Science Edition

基　　金：国家自然科学基金项目(11961074)。

摘　　要：该文研究了在环境被污染情况下具有Beddington-DeAngelis和Crowley-Martin型功能反应的随机三种群食物链模型.证明了该模型全局正解的存在唯一性,建立了种群平均持久性和灭绝性的充分条件.在一定假设条件下讨论了该模型的依分布稳定性.最后通过数值模拟验证了理论结果.This paper investigates a stochastic three-population food chain model with Beddington-DeAngelis and Crowley-Martin type functional response functions in the face of environmental pollution.We prove the existence and uniqueness of global positive solution to the model,and we give several sufficient conditions for the persistence and extinction of the populations.The distributional stability of the model is also discussed under certain assumptions.Finally the theoretical results are validated by numerical simulations.

关 键 词：食物链 Levy跳 功能反应 持久性 灭绝性 ITO公式 

分 类 号：O175.6[理学—数学]