Mathematical model for acquiring immunity to malaria: a PDE approach

Authors

  • S Y Tchoumi
  • Y T Kouakep University of Ngaoundere, Dpt of SFTI, EGCIM
  • D J M Fotsa
  • F G T Kamba
  • J C Kamgang
  • D D E Houpa

DOI:

https://doi.org/10.11145/j.biomath.2021.07.227

Keywords:

Malaria, Premunition, modelling, Endemic

Abstract

We develop a new model of integro-differential equations coupled with a partial differential equation that focuses on the study of the?  naturally acquiring immunity to malaria induced by exposure to infection. We analyze a continuous acquisition of immunity after infected individuals are treated. It exhibits complex and realistic mechanisms precised mathematically in both disease free or endemic context and in several numerical simulations showing the interplay between infection through the bite of mosquitoes. The model confirms the (partial) premunition of the human population in the regions where malaria is endemic. As common in literature, we indicate an equivalence of the basic reproduction rate as the spectral radius of a next generation operator.

Author Biography

Y T Kouakep, University of Ngaoundere, Dpt of SFTI, EGCIM

Assistant Lecturer

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Published

2021-09-12

Issue

Vol. 10 No. 2 (2021)

Section

Original Articles

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