【摘要】 本文研究了一类具有无穷时滞的不连续Lasota-Wazewska模型及其伪概周期性.首先利用指数二分性和不动点定理证明该系统伪概周期解的存在唯一性,然后通过构造恰当的Lyapunov函数得到伪概周期解的指数收敛性.最后,给出一个实例验证本文结论的可行性.更多还原

【Abstract】 In this paper,we consider the positive pseudo almost periodic solution for the Lasota-Wazewska model with infinite delays and discontinuous harvesting terms.Some sufficient criteria are established for the existence,uniqueness and exponential convergence of positive pseudo almost periodic solution.The working tools are based on the contraction mapping principle,the theory of exponential dichotomy and Lyapunov functions.Moreover,an example is presented to illustrate the main findings.更多还原