Mitchell Anderson, Kazuo Yamazaki, Chayu Yang, Jin Wang
{"title":"A PARTIALLY DIFFUSIVE MODEL FOR FROGEYE LEAF SPOT EPIDEMICS IN SOYBEAN.","authors":"Mitchell Anderson, Kazuo Yamazaki, Chayu Yang, Jin Wang","doi":"10.3934/dcdsb.2025177","DOIUrl":"10.3934/dcdsb.2025177","url":null,"abstract":"<p><p>We propose a new mathematical model based on partial differential equations to study the dynamics of the soybean disease frogeye leaf spot, a major affliction caused by the fungus <i>Cercospora sojina</i>. Our model extends the ordinary differential equations framework developed in earlier studies to incorporate the spatial diffusion of the disease within soybean plants. We prove the global-in-time solution theory of the model, determine the basic reproduction number for the system, and analyze the long-time behavior of the system subject to different values of the basic reproduction number. Our proof consists of two major mathematical novelties. First, although the model includes multiple infection-related compartments governed by non-diffusive equations - specifically the exposed and infected plants - with interactions that are not purely damping, we are able to provide the rigorous definition of the basic reproduction number. Second, despite the presence of multiple non-diffusive nonlinear equations - particularly for the susceptible and exposed compartments - we are able to prove the minimum principle by taking advantage of the structure of our model. In addition, we employ numerical simulation to verify the analytical results, to demonstrate the utility of this modeling framework, and to provide further insights into the spread of the disease.</p>","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"34 ","pages":"372-400"},"PeriodicalIF":1.4,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13478823/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148801284","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Mathematical modelling of cholera disease with seasonality and human behavior change","authors":"Wei Wang, Teng Liu, Xiaoting Fan","doi":"10.3934/dcdsb.2024013","DOIUrl":"https://doi.org/10.3934/dcdsb.2024013","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"34 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140026296","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Stability and Hopf bifurcation in a state-dependent delayed Brusselator-type model","authors":"Liang Zhou, Shangjiang Guo","doi":"10.3934/dcdsb.2024012","DOIUrl":"https://doi.org/10.3934/dcdsb.2024012","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"19 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140025821","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On a 2D transmission problem with singularity at the interface modeling autoignition of reactive jets","authors":"Claude-Michel Brauner, Peipei Shang, Linwan Zhang","doi":"10.3934/dcdsb.2024010","DOIUrl":"https://doi.org/10.3934/dcdsb.2024010","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"319 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140025816","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Wave motions in discontinuous initial-value problem of the inviscid shallow water wave Jaulent-Miodek model","authors":"Haili Li, Deng-Shan Wang","doi":"10.3934/dcdsb.2024009","DOIUrl":"https://doi.org/10.3934/dcdsb.2024009","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"110 ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140025824","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On a delayed invasive species model with harvesting","authors":"Sándor Kovács, Szilvia György","doi":"10.3934/dcdsb.2024005","DOIUrl":"https://doi.org/10.3934/dcdsb.2024005","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"10 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140025837","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Stability of a nonlinear wave for an outflow problem of the bipolar quantum Navier-Stokes-Poisson system","authors":"Qiwei Wu, Peicheng Zhu","doi":"10.3934/dcdsb.2024007","DOIUrl":"https://doi.org/10.3934/dcdsb.2024007","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"18 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140026291","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Spatio-temporal dynamics in a diffusive Bazykin model: Effects of group defense and prey-taxis","authors":"Subrata Dey, Malay Banerjee, S. Ghorai","doi":"10.3934/dcdsb.2023189","DOIUrl":"https://doi.org/10.3934/dcdsb.2023189","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"28 2","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140025814","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}