Role of Bi-Directional Migration in Two Similar Types of Ecosystems

Nikhil Pal, Sudip Samanta, Maia Martcheva and Joydev Chattopadhyay
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Nikhil Pal: Department of Mathematics, Visva-Bharati University, Santiniketan 731235, India
Sudip Samanta: Department of Mathematics, Faculty of Science & Arts-Rabigh, King Abdulaziz University, Rabigh 25732, Saudi Arabia
Maia Martcheva: Department of Mathematics, University of Florida, Gainesville, FL 32611, USA
Joydev Chattopadhyay: Agricultural and Ecological Research Unit, Indian Statistical Institute 203, B. T. Road, Kolkata 700108, India

Mathematics, 2018, vol. 6, issue 3, 1-16

Abstract: 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.

Keywords: food web; dispersal; bifurcation; chaos; stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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