具有阶段结构的非自治捕食–食饵模型

Non-Autonomous Predator-Prey Model with Stage Structure

研究了一类捕食者具有阶段结构且模型参数为时变系数的非自治捕食–食饵模型。在模型中假设捕食者具有阶段结构,食饵具有指数型增长率,定性分析了当模型中的所有参数为时变系数时的动力学性态。通过定义捕食者的净再生数,运用比较原理分别得到了捕食者的一致持久性和捕食者的灭绝性。最后通过数值模拟验证了理论的正确性。

This paper studies a kind of non-autonomous predator-prey model with stage structure and mod el parameters depended on time-varying coefficients. In the model it is assumed that the predator has stage structure, prey has exponential growth rate, and dynamics is analyzed qualitatively when all the parameters on the model parameters depend on time-varying coefficients. By defining the net reproductive number of the predator, a uniform persistence and extinction of the predators are obtained by using the comparison principle, respectively. Finally the correctness of the theory is verified by numerical simulation.