Dynamics of a Class of Leslie–Gower Predation Models with a Non-Differentiable Functional Response

A positively invariant attracting set for a predator-prey model with a non-differentiable functional response

“…With our result, we have demonstrated the ecologically well-posedness of system (1.1). Although (1.1) was studied for particular parameter values [8,9], the dynamics of the general case remains unexplored. Therefore, our result represents a first step in the analysis of predator-prey system (1.1).…”

“…Note that for α = 1 and m = 1, h (x) = q x x+a is the Holling type II functional response. System (1.1) with m = a = 0 was studied in the past [8,9]. The dynamics of the general case 0 < m, a was not analyze.…”