随机配对的食饵-捕食者模型  

PREY-PREDATOR MODEL WITH RANDOM MATING FOR PREY

作　　者：张天然[1] 

机构地区：[1]西南大学数学与统评学院,重庆400715

出　　处：《系统科学与数学》2009年第7期989-998,共10页Journal of Systems Science and Mathematical Sciences

基　　金：西南大学青年基金(SWNUQ2005030);国家自然科学基金(30770555)资助项目

摘　　要：建立了食饵具有性别结构的食饵-捕食者模型,其中食饵两性的配对是随机的。结论表明:没有偏食的捕食不能改变食饵的性比,偏食可以改变食饵的性比;若食饵两性的出生率相等,任意的偏食都可以消除周期振荡;若食饵两性的出生率不相等,较大的偏食总能消除周期振荡,周期振荡的消除与否由偏食系数和食饵两性的出生率之比共同决定。In this article a prey-predator model with sex structure in the prey population is proposed, where random mating, without the formation of permanent male-female couples, is prevailing. By mathematical analysis it is shown that predation without sex bias can＇t alter the sex ratio of the prey and sex-biased predation can do, that sex-biased predation can always eliminate periodic oscillation behavior when the birth rates of female and male prey are equal, that large sex-biased predation rate car/always eliminate oscillation behavior when the birth rates of female and male prey are not equal, and that the elimination of oscillation is determined by the sex-biased rate and the ratio of birth rates of male and female prey.

关 键 词：两性 偏食 性比 周期振荡 

分 类 号：O175[理学—数学]