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Mathematical Modeling of Japanese Encephalitis under Aquatic Environmental Effects

by 1,2,†, 1,† and 2,*,†
1
E. E. Aeronáutica e do Espazo, Campus de Ourense, Universidade de Vigo, 32004 Ourense, Spain
2
Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Mathematics 2020, 8(11), 1880; https://doi.org/10.3390/math8111880
Received: 10 September 2020 / Revised: 8 October 2020 / Accepted: 19 October 2020 / Published: 30 October 2020
(This article belongs to the Special Issue Modelling and Analysis in Biomathematics)
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. View Full-Text
Keywords: mathematical modeling; Japanese encephalitis; environment; numerical simulations mathematical modeling; Japanese encephalitis; environment; numerical simulations
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Ndaïrou, F.; Area, I.; Torres, D.F.M. Mathematical Modeling of Japanese Encephalitis under Aquatic Environmental Effects. Mathematics 2020, 8, 1880.

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