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Dynamical Models of Interactions between Herds Forage and Water Resources in Sahelian Region

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  • Jean Jules Tewa
  • Alassane Bah
  • Suares Clovis Oukouomi Noutchie

Abstract

Optimal foraging is one of the capital topics nowadays in Sahelian region. The vast majority of feed consumed by ruminants in Sahelian region is still formed by natural pastures. Pastoral constraints are the high variability of available forage and drinking water in space and especially in time (highly seasonal, interannual variability) and the scarcity of water resources. The mobility is the main functional and opportunistic adaptation to these constraints. Our goal in this paper is to formalize two dynamical models for interactions between a herd of domesticate animals, forage resources, and water resources inside a given Sahelian area, in order to confirm, explain, and predict by mathematical models some observations about pastoralism in Sahelian region. These models in some contexts can be similar to predator‐prey models as forage and water resources can be considered as preys and herd’s animals as predators. These models exhibit very rich dynamics, since it predicts abrupt changes in consumer behaviour and disponibility of forage or water resources. The dynamics exhibits a possible coexistence between herd, resources, and water with alternative peaks in their trajectories.

Suggested Citation

  • Jean Jules Tewa & Alassane Bah & Suares Clovis Oukouomi Noutchie, 2014. "Dynamical Models of Interactions between Herds Forage and Water Resources in Sahelian Region," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:138179
    DOI: 10.1155/2014/138179
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    References listed on IDEAS

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    1. Lesnoff, Matthieu & Corniaux, Christian & Hiernaux, Pierre, 2012. "Sensitivity analysis of the recovery dynamics of a cattle population following drought in the Sahel region," Ecological Modelling, Elsevier, vol. 232(C), pages 28-39.
    2. Abdon Atangana & Necdet Bildik, 2013. "Approximate Solution of Tuberculosis Disease Population Dynamics Model," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. Abdon Atangana & Necdet Bildik, 2013. "Approximate Solution of Tuberculosis Disease Population Dynamics Model," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, June.
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