扩散对斑块上食饵-捕食种群生存的影响

The effect of diffusion on predator-prey system in patches

建立了2个斑块上种群扩散的食饵-捕食系统,主要研究了当其中一个斑块受到输入量存在极限值的外来毒素污染时,扩散对2个斑块上3个种群生存的影响。结果表明,当扩散存在且扩散率满足一定条件时,食饵种群和捕食者种群在未来时刻将全部灭绝;而当扩散率满足另一条件时,食饵种群和捕食者种群将持续生存,进而会影响斑块上的生物多样性。

This paper sets up a predator-prey system with diffusion on two patches;the main study is how diffusion affects the three populations＇ existence when one of the two patches is polluted. If the amount of toxin on the polluted patch has a limitation and the population on the polluted patch may move between the two patches and the population on the unpolluted patch can not move to another patch ,there will be the following solutions：if the rate of diffusion meets some condition, the two populations will die out ;if the rate of diffusion meets the other one,the two populations can survive continuously,so the biodiversity will be affected.