The authors consider the following periodical impulsive differential equations which represent a predator-prey system
where is the period of impulsive immigration or stock of the predator, , and , represent the population densities of prey and predator, respectively.
The authors perform a numerical analysis of (1) for the case without of impulses, i.e. . Sufficient conditions for the local asymptotic stability of (1) are derived.
For the periodic solution sufficient conditions for its local asymptotic stability are found. A numerical analysis of seasonal effect and impulsive perturbations is performed.