Existence of traveling wave fronts for a diffusive Mackey-Glass model with two delays

Based on the diapause effect, a diffusive Mackey-Glass model with distinct diapause and developmental delays is proposed. By constructing appropriate upper and lower solutions and employing the inequality techniques, some sufficient conditions on the existence of traveling wave fronts are obtained. These results not only improve but also supplement some existing ones. Moreover, two numerical examples are provided to demonstrate their reliability and feasibility.

Automated summary

In this paper, a diffusive Mackey-Glass model with distinct diapause and developmental delays is proposed based on the diapause effect. Some sufficient conditions for the existence of traveling wave fronts are obtained by constructing appropriate upper and lower solutions and employing inequality techniques. Two numerical examples are provided to demonstrate the reliability and feasibility of the proposed model.