# Long term human-environment dynamics in a peri-forest context

Yves Dumont, Marc Hétier, Valaire Yatat-Djeumen

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Yves Dumont, Marc Hétier, Valaire Yatat-Djeumen. Long term human-environment dynamics in a peri-forest context. BIOMATH2025 - International Conference on Mathematical Methods and Models in Biosciences, Jun 2025, Sofia, Bulgaria. hal-05114736

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Submitted on 16 Jun 2025

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# Long term human-environment dynamics in a peri-forest context

Yves Dumont<sup>1,2,3</sup>, Marc Hétier<sup>2</sup>, Valaire Yatat-Djeumen<sup>2,4</sup>

<sup>1</sup>CIRAD, UMR AMAP, 3P, F-97410 Saint Pierre, France,

<sup>2</sup>AMAP, Univ Montpellier, CIRAD, CNRS, INRA, IRD, Montpellier, France
yves.dumont@cirad.fr, marc.hetier@cirad.fr

<sup>3</sup>University of Pretoria, Department of Mathematics and Applied Mathematics, Pretoria, South Africa

<sup>4</sup>ENSPY, University of Yaoundé 1, Cameroon
valaire.yatat@univ-yaoundel.cm

In Central Africa, population growth is increasing the demand for resources, leading to significant changes in forest ecosystems. Human activities like infrastructure development, road construction, and over-hunting threaten both vegetation and wildlife [1]. This anthropization of the natural landscape raises concerns about the ecosystem's sustainability and impacts food and health security for 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 availability, provided either from domestic sources (agriculture, breeding) or from hunt, we assume that the interactions between human population and the environment are limited to hunting activities, which reflect what happens in South Cameroon [3]. The theoretical analysis of the model shows that different kind of dynamics are possible. We identify the conditions on the hunting rate under which humans and wild fauna can coexist, as well as how anthropization may affect those conditions.

This work takes place within the I-CARE project, funded by ExposUM Institute of the University of Montpellier, Occitanie Region, and the investment programme France 2030, ANR-21-EXES-0005.

Keywords: Human-environment Modelling; Dynamical System; Monotone systems; Anthropization; Forest-dependent Wildlife

## References

[1] A. Benítez-López, L. Santini, A.M. Schipper, M. Busana, M.A.J Huijbregts, Intact but empty forests? Patterns of hunting induced mammal defaunation in the tropics, *Plos Biol*, 17(5):e3000247, 2019.
[2] W.J. Ripple et al., Bushmeat hunting and extinction risk to the world's mammals, *R. Soc. open sci*, 3:160498, 2016.

[3] N. Tagg, J.K. Kuenbou, D.W. Laméris, F.M.K. Meigang, S. Kekeunou, M.A. Epanda, J. Dupain, D. Mbohli, I. Redmond, J. Willie, Long-term trends in wildlife community structure and functional diversity in a village hunting zone in southeast Cameroon. *Biodiversity and Conservation*, 29:571-590, 2020.