Windarto, .- and Fatmawati, .- (2019) A Maize Foliar Disease Mathematical Model with Standard Incidence Rate. In: 9th Annual Basic Science International Conference 2019 (BaSIC 2019). IOP Publishing, MIPA Center, Universitas Brawijaya.

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Abstract

In this paper, we present a mathematical model of maize foliar disease with standard incidence rate. The present model is an improvement model from Collins and Duffy, where Collins and Duffy consider a mathematical model with the bilinear incidence rate. The present model has two equilibria namely the disease-free equilibrium and endemic equilibrium. We find that the disease-free equilibrium is asymptotically stable whenever the basic reproductive ratio is less than one. On the other hand, the endemic equilibrium will exist and be asymptotically stable whenever the basic reproductive ratio is greater than one. Furthermore, we perform numerical simulations to confirm the analytical results.

Item Type:	Book Section
Subjects:	Q Science Q Science > QA Mathematics Q Science > QA Mathematics > QA370-387 Differential Equations
Divisions:	08. Fakultas Sains dan Teknologi > Matematika
Creators:	Creators NIM Windarto, .- UNSPECIFIED Fatmawati, .- UNSPECIFIED
Depositing User:	Mr Vega Andi Budiman
Date Deposited:	24 Mar 2022 05:48
Last Modified:	24 Mar 2022 05:48
URI:	http://repository.unair.ac.id/id/eprint/114312
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