Dynamics Analysis of a Stochastic Plant Disease Model with Continuous Cultural Control Strategy

Abstract

In this paper, a new stochastic plant disease model with continuous control strategy is proposed and analyzed. The dynamics of the system are explored under white noise disturbance. We prove that if $R_1>1$ , then the disease is persistent; moreover, if $R_2>1$ , then the solutions of the system have a stationary distribution. For the special case, we prove that if $R_1<1$ , then the disease will eventually disappear. Finally, some numerical simulations were implemented to illustrate the theoretical results.