毒素影响下具有阶段结构的食饵-捕食种群系统生存研究

摘要

主要考虑了毒素影响下的食饵-捕食数学模型(食饵具有阶段结构，捕食种群仅捕食幼年种群)。讨论了系统解的有界性，得到了系统持久、灭绝的充分条件，并证明了系统周期解的存在性和稳定性。最后通过数值模拟进一步证明了相关结论。%The model of predator-prey with the effects of toxicant is considered,in which the prey has two stages (immature and mature)and the immature population is preyed by predator population.It is proved that the solutions of the system are ultimate bounded,and the sufficient conditions for the permanence and extinction of system are obtained,and the existence uniqueness and stability of the periodic solutions of the system are proved.In the end,some numerical simulations are presented to further prove the relevant conclusions by Matlab software.