基于税收的捕食系统的生物数学模型  

A Study of Biologic Mathematical Model of Tax based Predator-prey System

作　　者：贾娟[1] Jia Juan(Xi'an Railway Vocational and Technical Institute,Xi'an,Shaanxi 710026,China)

机构地区：[1]西安铁路职业技术学院,陕西西安710026

出　　处：《西安铁路职业技术学院学报》2018年第4期18-20,共3页Journal of Xi’an Railway Vocational & Technical Institute

基　　金：学院课题:《技能竞赛引领"双创"人才能力提升的途径研究--以数学建模竞赛为例》,课题编号SGH17V034.

摘　　要：本文主要研究了一类具有特殊功能反应函数的捕食系统的征税模型。通过对系统的稳定性分析给出了此系统正平衡点全局稳定的条件,通过最大值原理得到了最优税收策略,最后再借助数字举例验证了定理中的条件.为生物种群资源的保护提供了理论依据。This paper mainly studies the taxation model of a predator-prey system with special functional response function.By analyzing the stability of the system,the conditions for the global stability of the positive equilibrium point of the system are given.The optimal taxation strategy is obtained by the maximum principle.Finally,the conditions in the theorem are verified by numerical examples.It provides a theoretical basis for the protection of population resources.

关 键 词：捕食系统 征税 稳定性 

分 类 号：O175.12[理学—数学]