Role of bi-directional migration in two similar types of ecosystems
type: Item
instance of: scholarly article
title: Role of bi-directional migration in two similar types of ecosystems
zbMATH Open document ID: 1394.92110
author: Sudip Samanta
author: Maia Martcheva
author: Joydev Chattopadhyay
author: Nikhil Pal
published in: Mathematics
publication date: 2018-07-05T00:00:00Z
review text: Summary: Migration is a key ecological process that enables connections between spatially separated populations. Previous studies have indicated that migration can stabilize chaotic ecosystems. However, the role of migration for two similar types of ecosystems, one chaotic and the other stable, has not yet been studied properly. In the present paper, we investigate the stability of ecological systems that are spatially separated but connected through migration. We consider two similar types of ecosystems that are coupled through migration, where one system shows chaotic dynamics, and other shows stable dynamics. We also note that the direction of the migration is bi-directional and is regulated by the population densities. We propose and analyze the coupled system. We also apply our proposed scheme to three different models. Our results suggest that bi-directional migration makes the coupled system more regular. We have performed numerical simulations to illustrate the dynamics of the coupled systems.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 34C60
zbMATH DE Number: 6898728
zbMATH Keywords: food web
zbMATH Keywords: dispersal
zbMATH Keywords: bifurcation
zbMATH Keywords: chaos
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: math6030036
OpenAlex ID: W2790793922
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Wikidata QID: Q130166314
DOI: 10.3390/MATH6030036
description: scientific article; zbMATH DE number 6898728