A Maize Foliar Disease Mathematical Model with Standard Incidence Rate

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 t...

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Main Authors: Windarto, .-, Fatmawati, .-
格式: Book Section PeerReviewed
語言:English
English
English
出版: IOP Publishing 2019
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在線閱讀:https://repository.unair.ac.id/114312/1/C42.%20Fulltext.pdf
https://repository.unair.ac.id/114312/2/C42.%20Reviewer%20dan%20validasi.pdf
https://repository.unair.ac.id/114312/3/C42.%20Similarity.pdf
https://repository.unair.ac.id/114312/
https://www.researchgate.net/publication/334047091_A_Maize_Foliar_Disease_Mathematical_Model_with_Standard_Incidence_Rate
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總結: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.