Almost periodic solutions of a discrete mutualism model with variable delays
Summary: We discuss a discrete mutualism model with variable delays of the forms \[ N_1(n + 1) = N_1(n) \exp \{r_1(n)[(K_1(n) + \alpha_1(n)N_2(n - \mu_2(n)))/(1 + N_2(n - \mu_2(n))) - N_1(n - v_1(n))]\}, \] \[ N_2(n + 1) = N_2(n) \exp \{r_2(n)[(K_2(n) + \alpha_2(n)N_1(n - \mu_1(n)))/(1 + N_1(n - \mu_1(n))) - N_2(n - v_2(n))]\}. \] By means of an almost periodic functional hull theory, sufficient conditions are established for the existence and uniqueness of globally attractive almost periodic solutions to the system. Our results complement and extend some scientific work in recent years. Finally, some examples and numerical simulations are given to illustrate the effectiveness of our main results.
scientific article; zbMATH DE number 6137750