【摘要】 研究了一类食饵带有疾病的食饵-捕食者随机模型,分析了模型的有界性,在没有附加条件下证明了模型的解是随机最终有界的和随机系统中染病食饵种群与捕食者种群均几乎处处依指数趋于灭绝,最后研究了随机系统围绕确定性系统的地方病平衡点的渐近性质,得到了随机模型的解存在稳定分布的充分条件.更多还原

【Abstract】 A stochastic model of a predator-prey system with disease in the prey population is proposed and analyzed.The solution of the model will be stochastically ultimate boundedness without any additional condition.The infected prey and predator tend to extinct exponentially.The asymptotic behavior around the other equilibrium of the deterministic system is examined that is not the equilibrium of the stochastic system.更多还原