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 sensitivity indices of various embedded parameters with respect to the MSV eradication or spreading are determined. Numerical simulation is performed and dispalyed graphically to justify the analytical results.
Highlights
Maize (Zea mays L.) is grown globally across temperate and tropical zones, spanning all continents [1]
The reports of Ethiopian Commodity Exchange show that three-fourth of maize produced is used for household expenditure; only about ten percent is marketed and the remaining is used for seed, in-kind expenses for labor and animal feed [6]
Motivated by references [12, 16, 17], in this paper, we present a deterministic model to study and analyze the dynamics of maize streak virus (MSV) in the maize plant population
Summary
Maize (Zea mays L.) is grown globally across temperate and tropical zones, spanning all continents [1]. MSV has been reported to be the most economically significant causing 100% yield loss if infection occurs in the first three weeks of planting maize [3, 11] It is irregular in nature and transmitted in a persistent manner by leafhoppers in the genus Cicadulina [2, 5]. Description Predation and infection rate of Infected Leafhopper on Susceptible Maize plant Predation and infection rate of Susceptible Leafhopper on Infected Maize plant Conversion rate of Infected Leafhopper Recruitment rate of Susceptible Leafhopper Carrying capacity Half saturation rate of Susceptible Leafhopper with Infected Maize plant Half saturation rate of Susceptible maize with Infected plant Death rate of infected maize Death rate of susceptible leafhopper Death rate of infected leafhopper Intrinsic growth rate of Maize dynamics from the developed epidemiological mathematical model They applied optimal control theory with chemical, cultural, and disease resistance as a control intervention.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
