Traveling Wave Fronts to a Mackey‐Glass Model Involving Distinct Delays in Diffusion Term and Birth Function

In this paper, the traveling wave dynamics to a Mackey‐Glass equation involving distinct discrete delays in diffusion term and birth function is explored. By applying a modified Perron theorem and constructing an appropriate couple of quasi‐upper and quasi‐lower solutions, some sufficient criteria are derived to guarantee the existence of traveling wave fronts to the considered equation, which fully refines and generalizes some existing ones. In addition, some numerical examples are taken to support the availability of the theoretical results.