Dynamic analysis of a class of mutualistic diffusive models with impluses control
This paper deals with a reaction-diffusion problem describing two species mutualistic model and pulse is introduced to characterize the process of population response to instantaneous intervention.By combining the classical theory of partial differential equations and the method of upper and lower solutions,the properties of the solution of the reaction-diffusion equation under the influence of the impulse are discussed.The results show that both impulses and initial values have impacts on blow-up of solutions,and large impulses and initial values are more likely to lead to blowup phenomenon.
mutualistic modelpulseblowupthe method of upper and lower solutions