Uniform Boundedness for a Predator-prey System with Chemotaxis and Dormancy of Predators
Publicated to:Quarterly Of Applied Mathematics. 79 (2): 367-382 - 2021-06-01 79(2), DOI: 10.1090/qam/1583
Authors: Dáger R; Navarro V; Negreanu M
Affiliations
Abstract
©2020 Brown University This paper deals with a nonlinear system of reaction-diffusion partial differential equations modelling the evolution of a prey-predator biological system with chemotaxis. The system is constituted by three coupled equations: a fully parabolic chemotaxis system describing the behavior of the active predators and preys and an ordinary equation, describing the dynamics of the dormant predators, coupled to it. Chemotaxis in this context affects the active predators so that they move towards the regions where the density of resting eggs (dormant predators) is higher. Under suitable assumptions on the initial data and the coefficients of the system, the global-in-time existence of classical solutions is proved in any space dimension. Besides, numerical simulations are performed to illustrate the behavior of the solutions of the system. The theoretical and numerical findings show that the model considered here can provide very interesting and complex dynamics.
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The work has been published in the journal Quarterly Of Applied Mathematics, and although the journal is classified in the quartile Q3 (Agencia WoS (JCR)), its regional focus and specialization in Mathematics, Applied, give it significant recognition in a specific niche of scientific knowledge at an international level.
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- Scopus: 3
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There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (DAGER SALOMON, RENE) .
the author responsible for correspondence tasks has been DAGER SALOMON, RENE.