2019
DOI: 10.1155/2019/7965232
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Ecoepidemiological Model and Analysis of MSV Disease Transmission Dynamics in Maize Plant

Abstract: In this paper, an ecoepidemiological deterministic model for the transmission dynamics of maize streak virus (MSV) disease in maize plant is proposed and analysed qualitatively using the stability theory of differential equations.The basic reproduction number with respect to the MSV free equilibrium is obtained using next generation matrix approach. The conditions for local and global asymptotic stability of MSV free and endemic equilibria are established. The model exhibits forward bifurcation and the sensiti… Show more

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Cited by 22 publications
(21 citation statements)
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“…In order to see the relative effect of each parameter to the corruption transmission, we performed sensitivity analysis. To go through, we followed the approach defined by [17] as done in [18,19] which used the definition of normalized forward sensitivity index defined as a variable, R 0 , that depends differentiably on a parameter,ℓ, defined as…”
Section: Journal Of Applied Mathematicsmentioning
confidence: 99%
“…In order to see the relative effect of each parameter to the corruption transmission, we performed sensitivity analysis. To go through, we followed the approach defined by [17] as done in [18,19] which used the definition of normalized forward sensitivity index defined as a variable, R 0 , that depends differentiably on a parameter,ℓ, defined as…”
Section: Journal Of Applied Mathematicsmentioning
confidence: 99%
“…In epidemiology, it is crucial to understand the relative importance of the different factors responsible for its transmission and prevalence in determining how to best reduce mortality and morbidity due to the disease. Sensitivity analysis is used to study the sensitivity changes of parameters on the transmission and prevalence of the disease [27,28]. Sensitivity indices are used to measure the relative change in a state variable as a parameter value changes.…”
Section: Sensitivity Analysis Of Parametersmentioning
confidence: 99%
“…Currently, vector-borne plant diseases have attracted the interest of many mathematical modeling researchers ( Shi et al., 2014 ). Ordinary differential equations (ODEs) have been used to model plants infected with viruses ( Jeger et al., 1998 ; Jeger et al., 2004 ; Shi et al., 2014 ; Alemneh et al., 2019a , Alemneh et al., 2019b ). For instance, the authors in ( Shi et al., 2014 ), formulated and analyzed the dynamics of a vector-borne plant disease model.…”
Section: Introductionmentioning
confidence: 99%
“…For instance, the authors in ( Shi et al., 2014 ), formulated and analyzed the dynamics of a vector-borne plant disease model. The study in ( Alemneh et al., 2019a , Alemneh et al., 2019b ), developed and analysed a mathematical model for MSV pathogen interaction with pest invasion on maize plant. The study in ( Murwayi et al., Owour ), formulated and analyzed a dynamical nonlinear plant vector borne dispersion disease model that incorporates insect and plant population at equilibrium and wind as a parameter of climate change.…”
Section: Introductionmentioning
confidence: 99%