Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 500, Issue 1, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2021.125128
Keywords
Predator-prey; Mechanistic models; Reaction-diffusion equations; Numerical simulations; Chemotaxis; Animal movement
Categories
Funding
- FAPERJ Jovem Cientista do Nosso Estado [202.867/2015]
- CNPq [308101/2019-7]
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This study analyzes a reaction-diffusion model for predator-prey interaction with both prey and predator taxis mediated by two signals. The global well-posedness of the systems is proved, along with boundedness properties using the de Giorgi method and estimates in Lebesgue spaces. Numerical simulations are also presented to illustrate the dynamical behavior.
We analyse a reaction-diffusion model for predator-prey interaction featuring both prey and predator taxis mediated by two signals. Both predator and prey densities are governed by parabolic equations, and the prey and predator detect each other indirectly by means of odor or visibility fields modelled by parabolic or elliptic equations - instead of only elliptic equations, as in earlier work. We prove the global well-posedness of the systems, as well as boundedness properties using the de Giorgi method and estimates in Lebesgue spaces. We also present some numerical simulations to illustrate the dynamical behaviour. (C) 2021 Elsevier Inc. All rights reserved.
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