Chiang Mai Journal of Science

A Mathematical Model for Leaf Brown Spot Disease of Rice with Standard Incidence Rate

Paper Type	Contributed Paper
Title	A Mathematical Model for Leaf Brown Spot Disease of Rice with Standard Incidence Rate
Author	Suprawee Lertnaweephorn and Usa Humphries
Email	usa.wan@kmutt.ac.th
Abstract: The brown spot that is an important disease in rice, is found in poorly maintained soil. It is affected by the process of straw degradation or stubble. The SIX model can represent the dynamics of the disease because it includes a variable considering the number of pathogens in soil. In this work, the SIX model is advanced by adding the standard incidence rate and differentiating infection from two sources, plant and soil. The new model is then validated by using the stability analysis and the sensitivity indices of various embedded parameters. The analysis illustrates that there are two equilibrium points: disease-free and endemic equilibrium. The disease-free equilibrium is asymptotically stable when R0 <1 . In contrast, the endemic equilibrium is asymptotically stable when  R0 >1 . In addition, the analytical results were confirmed by numerical simulations of the occurrence of brown spot diseases in rice.
Start & End Page	931 - 941
Received Date	2020-12-07
Revised Date
Accepted Date	2021-03-16
Full Text	Download
Keyword	basic reproduction number, disease-free equilibrium point, endemic equilibrium point, plant disease model
Volume	Vol.48 No.3 (Special Issue I : May 2021)
DOI
Citation	Lertnaweephorn S. and Humphries U., A Mathematical Model for Leaf Brown Spot Disease of Rice with Standard Incidence Rate, Chiang Mai J. Sci., 2021; 48(3): 931-941.
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