Mathematical Modeling of Japanese Encephalitis under Aquatic Environmental Effects

Mathematical Modeling of Japanese Encephalitis under Aquatic Environmental Effects

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 stabili...

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Bibliographic Details
Main Authors: Faïçal Ndaïrou, Iván Area, Delfim F. M. Torres
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Mathematics
Subjects:
mathematical modeling
Japanese encephalitis
environment
numerical simulations
Online Access:https://www.mdpi.com/2227-7390/8/11/1880
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spelling doaj-de79c3ebb2c945dfab52ab7b524aa39d2020-11-25T03:08:29ZengMDPI AGMathematics2227-73902020-10-0181880188010.3390/math8111880Mathematical Modeling of Japanese Encephalitis under Aquatic Environmental EffectsFaïçal Ndaïrou0Iván Area1Delfim F. M. Torres2E. E. Aeronáutica e do Espazo, Campus de Ourense, Universidade de Vigo, 32004 Ourense, SpainE. E. Aeronáutica e do Espazo, Campus de Ourense, Universidade de Vigo, 32004 Ourense, SpainCenter for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, PortugalWe 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.https://www.mdpi.com/2227-7390/8/11/1880mathematical modelingJapanese encephalitisenvironmentnumerical simulations
collection DOAJ
language English
format Article
sources DOAJ
author Faïçal Ndaïrou
Iván Area
Delfim F. M. Torres
spellingShingle Faïçal Ndaïrou
Iván Area
Delfim F. M. Torres
Mathematical Modeling of Japanese Encephalitis under Aquatic Environmental Effects
Mathematics
mathematical modeling
Japanese encephalitis
environment
numerical simulations
author_facet Faïçal Ndaïrou
Iván Area
Delfim F. M. Torres
author_sort Faïçal Ndaïrou
title Mathematical Modeling of Japanese Encephalitis under Aquatic Environmental Effects
title_short Mathematical Modeling of Japanese Encephalitis under Aquatic Environmental Effects
title_full Mathematical Modeling of Japanese Encephalitis under Aquatic Environmental Effects
title_fullStr Mathematical Modeling of Japanese Encephalitis under Aquatic Environmental Effects
title_full_unstemmed Mathematical Modeling of Japanese Encephalitis under Aquatic Environmental Effects
title_sort mathematical modeling of japanese encephalitis under aquatic environmental effects
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2020-10-01
description 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.
topic mathematical modeling
Japanese encephalitis
environment
numerical simulations
url https://www.mdpi.com/2227-7390/8/11/1880
work_keys_str_mv AT faicalndairou mathematicalmodelingofjapaneseencephalitisunderaquaticenvironmentaleffects
AT ivanarea mathematicalmodelingofjapaneseencephalitisunderaquaticenvironmentaleffects
AT delfimfmtorres mathematicalmodelingofjapaneseencephalitisunderaquaticenvironmentaleffects
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