基于自残行为的捕食者-食饵年龄结构模型  

A Mathematical Model of Age-Structure Predator-prey Model with Cannibalism

作　　者：王小瑞 郑立飞[1] 张良[1] 赵惠燕[2] WANG Xiao-rui;ZHENG Li-fei;ZHANG Liang;ZHAO Hui-yan(College of Science, Northwest A ＆ F University, Yangling, 712100 China;College of Plant Protection, Northwest A ＆ F University, Yangling 712100, China)

机构地区：[1]西北农林科技大学理学院,陕西杨凌712100 [2]西北农林科技大学植保学院,陕西杨凌712100

出　　处：《数学的实践与认识》2018年第2期263-268,共6页Mathematics in Practice and Theory

基　　金：西北农林科技大学基本科研业务费专项资金(2014YB023,2452015086,z109021561);国家自然科学基金(11461024);陕西省扶持学科数学学科基金(14SXZD007)

摘　　要：提出了一个新的考虑自残的有年龄结构的捕食者一食饵模型，并研究了模型的渐近行为．假设捕食者从幼年转化为成年的转化率依赖于幼年个体的密度，且成年个体对幼年捕食者存在捕食行为．在此假设下，给出了捕食者灭绝和持久生存的条件．This paper proposed a new age-structure predator-prey model with cannibansm, and studied the asymptotic behavior for this model. It is assumed that the transition rate from immature stage to mature stage depends on the density of immature individuals. Also, the mature predator can consume the immature predator. Conditions for the permanence and extinction of the predator are obtained.

关 键 词：年龄结构 持久性 稳定性 自残 

分 类 号：O175[理学—数学]