{"title":"Effects of marine reserve creation in single species and prey–predator models","authors":"Aleksander Ćwiszewski , Sławomir Plaskacz","doi":"10.1016/j.nonrwa.2024.104230","DOIUrl":null,"url":null,"abstract":"<div><div>Implementations of marine protected areas (MPA’s) for over-exploited single species fisheries and prey–predator models with environment capacity are studied. The situations when fishing effort reaches the extinction threshold that fits over-exploited open-access fisheries are considered. The discrepancy for single-species and prey–predator models in the context of food security is obtained. Due quantitative indicators for biodiversity and food security are introduced and analyzed.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"82 ","pages":"Article 104230"},"PeriodicalIF":1.8000,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis-Real World Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S146812182400169X","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
Implementations of marine protected areas (MPA’s) for over-exploited single species fisheries and prey–predator models with environment capacity are studied. The situations when fishing effort reaches the extinction threshold that fits over-exploited open-access fisheries are considered. The discrepancy for single-species and prey–predator models in the context of food security is obtained. Due quantitative indicators for biodiversity and food security are introduced and analyzed.
期刊介绍：
Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems.
The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.
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