A mathematical model for frogeye leaf spot epidemics in soybean
We propose a new mathematical model based on differential equations to investigate the transmission and spread of frogeye leaf spot, a major soybean disease caused by the fungus Cercospora sojina. The model incorporates the primary and secondary transmission routes of the disease as well as the intr...
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Format: | Article |
Language: | English |
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AIMS Press
2024-01-01
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Series: | Mathematical Biosciences and Engineering |
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Online Access: | https://aimspress.com/article/doi/10.3934/mbe.2024048?viewType=HTML |
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author | Chayu Yang Jin Wang |
author_facet | Chayu Yang Jin Wang |
author_sort | Chayu Yang |
collection | DOAJ |
description | We propose a new mathematical model based on differential equations to investigate the transmission and spread of frogeye leaf spot, a major soybean disease caused by the fungus Cercospora sojina. The model incorporates the primary and secondary transmission routes of the disease as well as the intrinsic dynamics of the pathogen in the contaminated soil. We conduct detailed equilibrium and stability analyses for this model using theories of dynamical systems. We additionally conduct numerical simulations to verify the analytical predictions and to implement the model for a practical application. |
first_indexed | 2024-03-08T09:31:03Z |
format | Article |
id | doaj.art-7fb453cad7874845b8901ee48f43f4db |
institution | Directory Open Access Journal |
issn | 1551-0018 |
language | English |
last_indexed | 2024-03-08T09:31:03Z |
publishDate | 2024-01-01 |
publisher | AIMS Press |
record_format | Article |
series | Mathematical Biosciences and Engineering |
spelling | doaj.art-7fb453cad7874845b8901ee48f43f4db2024-01-31T01:44:48ZengAIMS PressMathematical Biosciences and Engineering1551-00182024-01-012111144116610.3934/mbe.2024048A mathematical model for frogeye leaf spot epidemics in soybeanChayu Yang0Jin Wang 11. Department of Mathematics, University of Nebraska-Lincoln, 1400 R St., Lincoln, NE 68588, USA2. Department of Mathematics, University of Tennessee at Chattanooga, 615 McCallie Avenue, Chattanooga, TN 37403, USAWe propose a new mathematical model based on differential equations to investigate the transmission and spread of frogeye leaf spot, a major soybean disease caused by the fungus Cercospora sojina. The model incorporates the primary and secondary transmission routes of the disease as well as the intrinsic dynamics of the pathogen in the contaminated soil. We conduct detailed equilibrium and stability analyses for this model using theories of dynamical systems. We additionally conduct numerical simulations to verify the analytical predictions and to implement the model for a practical application.https://aimspress.com/article/doi/10.3934/mbe.2024048?viewType=HTMLfrogeye leaf spotsoybean diseaseplant pathologyepidemic modeling and simulation |
spellingShingle | Chayu Yang Jin Wang A mathematical model for frogeye leaf spot epidemics in soybean Mathematical Biosciences and Engineering frogeye leaf spot soybean disease plant pathology epidemic modeling and simulation |
title | A mathematical model for frogeye leaf spot epidemics in soybean |
title_full | A mathematical model for frogeye leaf spot epidemics in soybean |
title_fullStr | A mathematical model for frogeye leaf spot epidemics in soybean |
title_full_unstemmed | A mathematical model for frogeye leaf spot epidemics in soybean |
title_short | A mathematical model for frogeye leaf spot epidemics in soybean |
title_sort | mathematical model for frogeye leaf spot epidemics in soybean |
topic | frogeye leaf spot soybean disease plant pathology epidemic modeling and simulation |
url | https://aimspress.com/article/doi/10.3934/mbe.2024048?viewType=HTML |
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