{"title":"A Prey-Predator Mathematical Model With Diffusion and Home Ranges","authors":"Khalaf M. Alanazi","doi":"10.28924/2291-8639-22-2024-111","DOIUrl":null,"url":null,"abstract":"A prey-predator model with diffusion and home ranges is considered. The model consists of partial differential and integral equations. The model incorporates complex mathematical expressions, which make it hard to analyze mathematically. Therefore, a numerical solution is provided in two cases. The first case considers the prey population growing logistically, while we consider the exponential growth of the prey population in the second case. We study the dynamic behavior of the two species for both cases. Special attention goes to the impact of home ranges and diffusion coefficients on the dynamics of prey and predator populations.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.28924/2291-8639-22-2024-111","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
A prey-predator model with diffusion and home ranges is considered. The model consists of partial differential and integral equations. The model incorporates complex mathematical expressions, which make it hard to analyze mathematically. Therefore, a numerical solution is provided in two cases. The first case considers the prey population growing logistically, while we consider the exponential growth of the prey population in the second case. We study the dynamic behavior of the two species for both cases. Special attention goes to the impact of home ranges and diffusion coefficients on the dynamics of prey and predator populations.
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