Résumé
In Central Africa, the settlement of populations and the development of new in- frastructures, like industrial complexes or roads, negatively impact the forest ecosys- tems. This anthropisation of the natural landscape has consequences on wildlife, which is, on the other hand, threatened by over-hunting [2]. The decline in the abundance of the wild fauna raises concerns about the ecosystem's sustainability and the food security of forest dependent communities [4]. In [3], we build and study a continuous dynamical system that models interac- tions between human populations and wildlife in the context of the tropical forests of southern Cameroon. In this model, hunting practices are governed either by a Holling Type-I response for which the theoretical analysis is done using the theory of monotone systems [3], either by a Holling Type-II response, which increases the system's non-linearity and complexity. In this case, we first simplify the model using the Tikhonov's theorem [1] before performing the analysis using standard mathe- matical theory. In all cases, the analysis shows that di!erent kinds of dynamics are possible, including the convergence towards a limit cycle. We identify the conditions on the hunting rate under which humans and wild fauna can coexist, as well as how anthropisation may a!ect those conditions. We illustrate our theoretical findings with numerical simulations.