The Steady State Property and Stochastic Resonance for an Insect Outbreak Model Driven by Colored Noises and a Multiplicative Periodic Signal
FANG Cijun;LIU Xianbin;State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of Aeronautics and Astronautics;School of Science,Hubei University of Technology;
The steady state behavior and the stochastic resonance of an insect outbreak model induced by colored noises and a multiplicative periodic signal are studied. Firstly,for an insect outbreak model driven by colored correlation of noises. The steady state probability distribution function of the system is obtained by applying the FokkerPlanck equation. The influence of noises intensity and correlation time on the stability of the system are discussed.Then by adding the weak multiplicative periodic signal,the signal noise ratio formula is given by the fast descent method and the two-state theory. The influence of noises intensity and correlation time on the SNR of the insect system are studied. Consequently,the stability of the system population and the actual survival time are analyzed.