Relaxation Oscillations and Dynamical Properties in Two Time-Delay Slow-Fast Modified Leslie-Gower Models

الملخص EN

In this paper, we consider two kinds of time-delay slow-fast modified Leslie-Gower models.

For the first system, we prove the existence and uniqueness of relaxation oscillation cycle through the geometric singular perturbation theory and entry-exit function.

For the second system, we put forward a conjecture that the relaxation oscillation of the system is unique.

Numerical simulation also verifies our results for the systems.