Local dynamics and coexistence of predator-prey model with directional dispersal of predator
type: Item
instance of: scholarly article
title: Local dynamics and coexistence of predator-prey model with directional dispersal of predator
zbMATH Open document ID: 1471.92256
author: Kwangjoong Kim
author: Wonhyung Choi
published in: Mathematical Biosciences and Engineering
publication date: 2021-09-03T00:00:00Z
review text: This paper is concerned with the effect of directional dispersal of a predator on a predator-prey model. The prey is assumed to have traits making it undetectable to the predator and difficult to chase the prey directly. Directional dispersal of the predator is described when the predator has learned the high hunting efficiency in certain areas, thereby dispersing toward these areas instead of directly chasing the prey. We investigate the stability of the semi-trivial solution and the existence of a coexistence steady-state. Moreover, authors show that the predator that moves toward a high-predation area may make the predators survive under the condition the predators cannot survive when they disperse randomly. The results are obtained through eigenvalue analysis and fixed-point index theory. Finally, Authors present the numerical simulation and its biological interpretations based on the obtained results.
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 7390433
zbMATH Keywords: predator-prey model
zbMATH Keywords: directional dispersal
zbMATH Keywords: ratio-dependent functional responses
zbMATH Keywords: local stability/instability
zbMATH Keywords: coexistence steady-state
reviewed by: Wan-Tong Li
MaRDI profile type: Publication
full work available at URL: mbe.2020351
OpenAlex ID: W3090327439
Wikidata QID: Q104619341
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DOI: 10.3934/MBE.2020351
description: scientific article; zbMATH DE number 7390433