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Dynamic study of SIAISQVR−B fractional-order cholera model with control strategies in Cameroon Far North Region

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  • Nguiwa, Tchule
  • Kolaye, Gabriel Guilsou
  • Justin, Mibaile
  • Moussa, Djaouda
  • Betchewe, Gambo
  • Mohamadou, Alidou

Abstract

In this work, mathematical SIAISQVR−B fractional-order cholera model is investigated. We provide a theoretical study of the model. We derive the basic reproduction number R0 which determines the extinction and the persistence of the infection. We show that the disease-free equilibrium is globally asymptotically stable whenever R0≤1, while when R0>1, the disease-free equilibrium is unstable and there exists a unique endemic equilibrium point which is locally asymptotically stable on a positively invariant region of the positive orthant. Using the sensitivity analysis, we find that the parameters related to the vaccination and therapeutic treatment are more influencing the model. Theoretical results are supported by numerical simulations by means of fde12 solver, which further suggest using of vaccination in endemic area. We observe from Fig. 4 that, extinction of disease can occur with vaccination of susceptible individuals for ϕ>0.6. In case of lack of necessary funding to fight again cholera, Fig. 3 revealed that efforts should focus to keep contamination rates σ<0.09 and β<0.09 in other to die out with success the disease.

Suggested Citation

  • Nguiwa, Tchule & Kolaye, Gabriel Guilsou & Justin, Mibaile & Moussa, Djaouda & Betchewe, Gambo & Mohamadou, Alidou, 2021. "Dynamic study of SIAISQVR−B fractional-order cholera model with control strategies in Cameroon Far North Region," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    • Handle: RePEc:eee:chsofr:v:144:y:2021:i:c:s0960077921000552
    DOI: 10.1016/j.chaos.2021.110702
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