STABILITY OF EQUILIBRIUM STATES FOR A STOCHASTICALLY PERTURBED MOSQUITO POPULATION EQUATION

作者: Leonid Shaikhet

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摘要: In the paper it is shown how known results of stability theory can be simply applied to investigation some nonlinear mathematical models with s- tochastic perturbations. The discrete delay Mosquito population equation an exponential nonlinearity considered. It assumed that this model exposed stochastic perturbations which are directly proportional deviation a system state from equilibrium point. necessary and sucient conditions for asymptotic mean square two (zero positive) points linear approximation considered dierence equations obtained. These at same time in probability initial equation. Numerical calculations gures illustrate obtained results. proposed procedure arbitrary order higher than one.

参考文章(2)
Edoardo Beretta, Vladimir Kolmanovskii, Leonid Shaikhet, Stability of epidemic model with time delays influenced by stochastic perturbations Mathematics and Computers in Simulation. ,vol. 45, pp. 269- 277 ,(1998) , 10.1016/S0378-4754(97)00106-7