蚤种群与其宿主关系动态的非线性差分方程模型

Dynamic nolinear difference equation model of relations between fleas and their hosts

在经典的生态学模型Logistic方程基础上 ,构建了鼠蚤之间关系的偏利作用模型 ,结合实际生物学背景分析了方程的平衡点及其稳定性等各种模型行为 ,给出了方程中各参数的估计方法和模型的模拟结果 ,得出几个简要结论 .

We established the partial effect model of relations between mice and fleas that based on classical ecology model\|Logistic equation, and analyzed the model behavior such as equilibrium points and their stability by considering the real biology background. The estimate method of each parameter in the equation and the simulation results of the model are presented with some brief conclusions in the end of paper. This equation can be used to describe the growth dynamic of the relations between flea population and its host under certain conditions.