非线性生物种群方程解的性质

The Property of Solution of a Nonlinear Population Evolution Equation

讨论一类非线性生物种群方程，证明了解的存在性和唯一性，同时，讨论了系统的稳定性，利用临界增生率，得到了系统渐近稳定、不稳定的充分条件．

We discusses a class of nonlinear Population equation, The existence and uniqueness of the solution are have been proved. Also we discusses the stability of systems,By using the concept of critical proliferation rate,we obtain the sufficient conditions of the asymptotic stability and non - stability.