Windarto, ,- and Fatmawati, ,- and Kamara Mustiko Putri, ,- A Maize Foliar Disease Mathematical Model with Standard Incidence Rate. In: IOP Conference Series: Materials Science and Engineering. IOP Science.

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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 > QA Mathematics > QA1 Mathematics (General)
Divisions:	08. Fakultas Sains dan Teknologi > Matematika
Creators:	Creators NIM Windarto, ,- UNSPECIFIED Fatmawati, ,- UNSPECIFIED Kamara Mustiko Putri, ,- UNSPECIFIED
Depositing User:	Mr Vega Andi Budiman
Date Deposited:	23 Jun 2023 23:54
Last Modified:	23 Jun 2023 23:54
URI:	http://repository.unair.ac.id/id/eprint/127573
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