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Mathematical Modeling of Japanese Encephalitis under Aquatic Environmental Effects

Author

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  • Faïçal Ndaïrou

    (E. E. Aeronáutica e do Espazo, Campus de Ourense, Universidade de Vigo, 32004 Ourense, Spain
    Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal
    These authors contributed equally to this work.)

  • Iván Area

    (E. E. Aeronáutica e do Espazo, Campus de Ourense, Universidade de Vigo, 32004 Ourense, Spain
    These authors contributed equally to this work.)

  • Delfim F. M. Torres

    (Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal
    These authors contributed equally to this work.)

Abstract

We propose a mathematical model for the spread of Japanese encephalitis with emphasis on the environmental effects on the aquatic phase of mosquitoes. The model is shown to be biologically well-posed and to have a biologically and ecologically meaningful disease-free equilibrium point. Local stability is analyzed in terms of the basic reproduction number and numerical simulations presented and discussed.

Suggested Citation

  • Faïçal Ndaïrou & Iván Area & Delfim F. M. Torres, 2020. "Mathematical Modeling of Japanese Encephalitis under Aquatic Environmental Effects," Mathematics, MDPI, vol. 8(11), pages 1-14, October.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:11:p:1880-:d:437260
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    References listed on IDEAS

    as
    1. Ndaïrou, Faïçal & Area, Iván & Nieto, Juan J. & Torres, Delfim F.M., 2020. "Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
    2. Berge, Tsanou & Bowong, Samuel & Lubuma, Jean M.-S., 2017. "Global stability of a two-patch cholera model with fast and slow transmissions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 133(C), pages 142-164.
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