具有功能性反应的捕食模型的持久性和灭绝性

Permanence and Extinction of a Class of Predator-prey Model with Functional Response

讨论了一类具有第Ⅱ类功能性反应函数的捕食-被捕食模型。分别给出了捕食者和被捕食者种群均灭绝;捕食者种群灭绝,而被捕食者种群幸存;以及两种群长期共存的条件。最后通过实例说明所得结论的可实现性。

A class of predator-prey model with functional response is investigated.The conditions are obtained under which all the species become extinct,the predator species become extinct while the prey species keep permanent and the two species keep permanent,respectively.Moreover,the feasibility of the result is shown by example.