Dynamics of an almost periodic facultative mutualism model with time delays

By using some new analytical techniques, modified inequalities and Mawhin s continuation theorem of coincidence degree theory, some sufficient conditions for the existence of at least one positive almost periodic solution of a kind of two-species model of facultative mutualism with time delays are obtained. Further, the global asymptotic stability of the positive almost periodic solution of this model is also considered. Some examples and numerical simulations are provided to illustrate the main results of this paper. Finally, a conclusion is also given to discuss how the parameters of the system in uence the existence and globally asymptotic stability of positive almost periodic oscillations.