Competitive Coexistence in a Two-Strain Epidemic Model with a Periodic Infection Rate

الملخص EN

In this article, we study the global dynamical behavior of a two-strain SIS model with a periodic infection rate.

The positivity and boundedness of solutions are established, and the competitive exclusion conditions are given for the model.

The conditions for the global stability of the disease-free equilibrium and persistence of the model are obtained.

The conditions of coexistence in this model are also found.

Finally, the conditions of uniqueness of the solution are proved.