一类捕食者间具有偏利关系的捕食模型  

A Predator-prey Model with Commensalism Relationship Among Predators

作　　者：刘汉武 张凤琴 周华坤[2] LIU Han-wu;ZHANG Feng-qin;ZHOU Hua-kun(Maths and Information Technology School, Yuncheng University, Yuncheng 044000, China;Key Laboratory of Restoration Ecology in Cold Regions of Qinghai Province, Northwest Institute of Plateau Biology, Chinese Academy of Sciences, Xining, 810008, China)

机构地区：[1]运城学院数学与信息技术学院,山西运城044000 [2]中国科学院西北高原生物研究所青海省寒区恢复生态学重点实验室,西宁810008

出　　处：《运城学院学报》2021年第6期32-35,共4页Journal of Yuncheng University

基　　金：国家自然科学基金资助项目(12071418);山西省高等学校科学研究优秀成果培育项目(2020KJ020);山西省回国留学人员科研资助项目(2017-111);青海省寒区恢复生态学重点实验室开放课题(2020-KF-13)。

摘　　要：鼠类对鸟类有偏利作用,它们都取食植物。基于它们之间的关系,建立一类捕食者间具有偏利关系的捕食模型,并分析模型的动力学性态。鸟类的环境容纳量随鼠类数量线性增加,在正平衡点处,鸟类数量达到其环境容纳量。放牧率对模型动态有重要影响。放牧率过大可能导致植被、鼠类和鸟类数量逐渐减少,甚至灭绝。因此,保持适当的放牧率有利于维持高寒草甸生态系统的稳定。Birds are commensal with rodents and both of them feed on vegetation.One predator-prey model with commensalism relationship among predators was formulated and its dynamic behavior was analyzed.At the positive equilibrium,birds reach the carrying capacity,which increases linearly with the amount of rodents.The grazing rate has an important influence on the dynamics of the model.With the increasing of grazing rate,rodents,birds and vegetation became extinct in turn.Therefore,it is very important to keep the proper grazing rate for maintaining stability of alpine meadow ecosystem.

关 键 词：偏利 捕食 模型 动力学性态 

分 类 号：O175.13[理学—数学]