Abstract
This paper deals with a class of Leslie-type model with two characteristic time scales. We assume that the predator–prey system with Holling type I functional response function, which yield a piecewise smooth slow–fast system. Using geometry singular perturbation theory, we revealed that it can have exactly two relaxation oscillations, the inner one unstable and outer one stable. Numerical simulations for the coexistence of two relaxation oscillations are also given in support of the analytic results.
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