Résumé
In Central Africa, the settlement of population and the development of new infrastructures, like industrial complex or roads, negatively impact the forest ecosystems. This anthropization of the natural landscape has consequences on wild-life, which is, on the other hand, threaten by over-hunting [1]. The de- cline in the abundance of the wild fauna raises concerns about the ecosystem's sustainability and the food security of forest dependent communities [2]. We present and study a dynamical system to model human-environment interactions. Based on the fact that the human population relies on food avail- ability provided either from domestic sources (agriculture, breeding) or from hunt, we assume that the interactions between human population and the envi- ronment are limited to hunting activities, which reflect what happens in South Cameroon [3]. Depending on the functional used, the theoretical analysis is done using the theory of monotone systems [4], or is simplified using quasi steady state assumption [5]. In both cases, the analysis shows that di↵erent kind of dynamics are possible, including the convergence towards a limit cycle [6]. We identify the conditions on the hunting rate under which humans and wild fauna can coexist, as well as how anthropization may a↵ect those conditions. Numerical simulations supplement the theoretical work.