Applications of boundary value problem and impulsive effects to control harmful species

A predator-prey model with impulsive effect concerning biological strategy as well as chemical strategy is proposed and analyzed, at the same time, the application of boundary value problem to the system of two species with impulsive control in finite time are investigated. In this paper, the short-term managements of species are investigated by means of the theory of impulsive differential equations and boundary value problem, the comparison principle, the upper and lower solutions. By the comparison principle, the conditions under which the model has a solution are found by a series of the upper solutions and the conditions under which the model has no solution are also given by a series of the lower solutions.