{"title":"具有狩猎合作的扩散捕食者-猎物系统中猎物趋向性的影响","authors":"Kankan Sarkar","doi":"10.1140/epjp/s13360-025-06031-7","DOIUrl":null,"url":null,"abstract":"<div><p>Predator movement determined by prey density is known as prey-taxis, which plays a crucial role in ecosystem dynamics. This study considers the effect of prey-taxis in a predator–prey system with hunting cooperation in predators. Linear stability analysis is used to establish the condition for diffusive instability. Analytical investigation was carried out in the temporal system to investigate the existence of biologically possible equilibrium points and their stability, positivity, and boundedness of solutions and the presence of transcritical and Hopf bifurcations. The transcritical and Hopf bifurcations observed in the predator–prey system for predator death rate and predator hunting cooperation, respectively. As the level of hunting cooperation rises, the system becomes unstable. The stability switches between predator-free and interior equilibrium as predator death rates increase. In the spatially extended system, prey-taxis plays a crucial role in Turing pattern formation.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 1","pages":""},"PeriodicalIF":2.9000,"publicationDate":"2025-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The effect of prey-taxis in a diffusive predator–prey system with hunting cooperation\",\"authors\":\"Kankan Sarkar\",\"doi\":\"10.1140/epjp/s13360-025-06031-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Predator movement determined by prey density is known as prey-taxis, which plays a crucial role in ecosystem dynamics. This study considers the effect of prey-taxis in a predator–prey system with hunting cooperation in predators. Linear stability analysis is used to establish the condition for diffusive instability. Analytical investigation was carried out in the temporal system to investigate the existence of biologically possible equilibrium points and their stability, positivity, and boundedness of solutions and the presence of transcritical and Hopf bifurcations. The transcritical and Hopf bifurcations observed in the predator–prey system for predator death rate and predator hunting cooperation, respectively. As the level of hunting cooperation rises, the system becomes unstable. The stability switches between predator-free and interior equilibrium as predator death rates increase. In the spatially extended system, prey-taxis plays a crucial role in Turing pattern formation.</p></div>\",\"PeriodicalId\":792,\"journal\":{\"name\":\"The European Physical Journal Plus\",\"volume\":\"140 1\",\"pages\":\"\"},\"PeriodicalIF\":2.9000,\"publicationDate\":\"2025-01-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The European Physical Journal Plus\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1140/epjp/s13360-025-06031-7\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal Plus","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjp/s13360-025-06031-7","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
The effect of prey-taxis in a diffusive predator–prey system with hunting cooperation
Predator movement determined by prey density is known as prey-taxis, which plays a crucial role in ecosystem dynamics. This study considers the effect of prey-taxis in a predator–prey system with hunting cooperation in predators. Linear stability analysis is used to establish the condition for diffusive instability. Analytical investigation was carried out in the temporal system to investigate the existence of biologically possible equilibrium points and their stability, positivity, and boundedness of solutions and the presence of transcritical and Hopf bifurcations. The transcritical and Hopf bifurcations observed in the predator–prey system for predator death rate and predator hunting cooperation, respectively. As the level of hunting cooperation rises, the system becomes unstable. The stability switches between predator-free and interior equilibrium as predator death rates increase. In the spatially extended system, prey-taxis plays a crucial role in Turing pattern formation.
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The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences.
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