Global existence and asymptotic behavior of solutions to a Predator-Prey chemotaxis system with two chemicals

Negreanu, M. and Tello Del Castillo, Jose Ignacio (2019). Global existence and asymptotic behavior of solutions to a Predator-Prey chemotaxis system with two chemicals. "Journal of Mathematical Analysis and Applications", v. 474 (n. 2); pp. 1116-1131. ISSN 0022-247X. https://doi.org/10.1016/j.jmaa.2019.02.007.

Description

Title: Global existence and asymptotic behavior of solutions to a Predator-Prey chemotaxis system with two chemicals
Author/s:
  • Negreanu, M.
  • Tello Del Castillo, Jose Ignacio
Item Type: Article
Título de Revista/Publicación: Journal of Mathematical Analysis and Applications
Date: June 2019
ISSN: 0022-247X
Volume: 474
Subjects:
Freetext Keywords: Chemotaxis; Asymptotic stability of solutions; Lotka Volterra prey predator system; Periodic solutions
Faculty: E.T.S.I. de Sistemas Informáticos (UPM)
Department: Matemática Aplicada a las Tecnologías de la Información y las Comunicaciones
Creative Commons Licenses: Recognition - No derivative works - Non commercial

Full text

[img] PDF - Requires a PDF viewer, such as GSview, Xpdf or Adobe Acrobat Reader
Download (3MB)

Abstract

In this article we consider the dynamics of two biological species “u1” and “u2”, secreting the chemical substances “v2” and “v1”, respectively. The biological species present the ability to orientate their movement towards the concentration of the chemical secreted by the other species. The problem is presented as a coupled system of four PDEs with chemotactic terms, two parabolic equations describing the evolution of the biological species “ui” (for i=1,2) and two elliptic equations for the concentration of the chemicals “vi” (for i=1,2). The source terms describe a Predator–Prey interaction, where the population of the predator “u2” has a negative effect in the density of the prey “u1” which affects positively in the population of the prey, its movement is oriented towards the higher concentration of the chemical secreted by the prey. The prey presents chemo-repulsion capabilities to avoid the predator throwout the chemical secreted by the predator “v1”.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainMTM2017-83391-PUnspecifiedUniversidad Politécnica de MadridSistemas no lineales en matemática industrial y otras aplicaciones

More information

Item ID: 67061
DC Identifier: https://oa.upm.es/67061/
OAI Identifier: oai:oa.upm.es:67061
DOI: 10.1016/j.jmaa.2019.02.007
Official URL: https://www.sciencedirect.com/science/article/pii/S0022247X19301234?via%3Dihub
Deposited by: Memoria Investigacion
Deposited on: 01 Mar 2022 15:58
Last Modified: 01 Mar 2022 15:58
  • Logo InvestigaM (UPM)
  • Logo GEOUP4
  • Logo Open Access
  • Open Access
  • Logo Sherpa/Romeo
    Check whether the anglo-saxon journal in which you have published an article allows you to also publish it under open access.
  • Logo Dulcinea
    Check whether the spanish journal in which you have published an article allows you to also publish it under open access.
  • Logo de Recolecta
  • Logo del Observatorio I+D+i UPM
  • Logo de OpenCourseWare UPM