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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id-langga.1275732023-06-23T23:54:33Z https://repository.unair.ac.id/127573/ A Maize Foliar Disease Mathematical Model with Standard Incidence Rate Windarto, ,- Fatmawati, ,- Kamara Mustiko Putri, ,- QA1 Mathematics (General) 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 IOP Science Book Section PeerReviewed text en https://repository.unair.ac.id/127573/1/C15.%20Fulltext.pdf text en https://repository.unair.ac.id/127573/2/C15.%20Penilaian%20dan%20Validasi.pdf text en https://repository.unair.ac.id/127573/3/C15.%20Similarity.pdf 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. https://iopscience.iop.org/article/10.1088/1757-899X/546/5/052085 |
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QA1 Mathematics (General) |
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QA1 Mathematics (General) Windarto, ,- Fatmawati, ,- Kamara Mustiko Putri, ,- A Maize Foliar Disease Mathematical Model with Standard Incidence Rate |
| description |
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 |
| format |
Book Section PeerReviewed |
| author |
Windarto, ,- Fatmawati, ,- Kamara Mustiko Putri, ,- |
| author_facet |
Windarto, ,- Fatmawati, ,- Kamara Mustiko Putri, ,- |
| author_sort |
Windarto, ,- |
| title |
A Maize Foliar Disease Mathematical Model with Standard Incidence Rate |
| title_short |
A Maize Foliar Disease Mathematical Model with Standard Incidence Rate |
| title_full |
A Maize Foliar Disease Mathematical Model with Standard Incidence Rate |
| title_fullStr |
A Maize Foliar Disease Mathematical Model with Standard Incidence Rate |
| title_full_unstemmed |
A Maize Foliar Disease Mathematical Model with Standard Incidence Rate |
| title_sort |
maize foliar disease mathematical model with standard incidence rate |
| publisher |
IOP Science |
| url |
https://repository.unair.ac.id/127573/1/C15.%20Fulltext.pdf https://repository.unair.ac.id/127573/2/C15.%20Penilaian%20dan%20Validasi.pdf https://repository.unair.ac.id/127573/3/C15.%20Similarity.pdf https://repository.unair.ac.id/127573/ https://iopscience.iop.org/article/10.1088/1757-899X/546/5/052085 |
| _version_ |
1769840139659378688 |