Prey-predator model with nonlocal and global consumption in the prey dynamics

A prey-predator model with a nonlocal or global consumption of resources by prey is studied. Linear stability analysis about the homogeneous in space stationary solution is carried out to determine the conditions of the bifurcation of stationary and moving pulses in the case of global consumption. Their existence is confirmed in numerical simulations. Periodic travelling waves and multiple pulses are observed for the nonlocal consumption. © 2020 American Institute of Mathematical Sciences. All rights reserved.

Authors
Banerjee M.1 , Mukherjee N.1 , Volpert V. 2, 3, 4
Journal
Discrete and Continuous Dynamical Systems - Series S
Publisher
American Institute of Mathematical Sciences
Number of issue
8
Language
English
Pages
2109-2120
Status
Published
DOI
10.3934/DCDSS.2020180
Volume
13
Year
2020
Organizations
  • 1 Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur, 208016, India
  • 2 Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne, 69622, France
  • 3 INRIA, Université de Lyon, Université Lyon 1, Institut Camille Jordan, 43 Bd. du 11 Novembre 1918, Villeurbanne Cedex, 69200, France
  • 4 Peoples Friendship University of Russia, RUDN University, 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
Keywords
Global consumption; Pulse; Speciation; Traveling wave
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