Exploring unique dynamics in a predator-prey model with generalist predator and group defense in prey.

Autor:	Srivastava V; Department of Mathematics, Iowa State University, Ames, Iowa 50011, USA., Antwi-Fordjour K; Department of Mathematics and Computer Science, Samford University, Birmingham, Alabama 35229, USA., Parshad RD; Department of Mathematics, Iowa State University, Ames, Iowa 50011, USA.
Jazyk:	angličtina
Zdroj:	Chaos (Woodbury, N.Y.) [Chaos] 2024 Jan 01; Vol. 34 (1).
DOI:	10.1063/5.0171950
Abstrakt:	In the current paper, we consider a predator-prey model where the predator is modeled as a generalist using a modified Leslie-Gower scheme, and the prey exhibits group defense via a generalized response. We show that the model could exhibit finite-time blow-up, contrary to the current literature [Patra et al., Eur. Phys. J. Plus 137(1), 28 (2022)]. We also propose a new concept via which the predator population blows up in finite time, while the prey population quenches in finite time; that is, the time derivative of the solution to the prey equation will grow to infinitely large values in certain norms, at a finite time, while the solution itself remains bounded. The blow-up and quenching times are proved to be one and the same. Our analysis is complemented by numerical findings. This includes a numerical description of the basin of attraction for large data blow-up solutions, as well as several rich bifurcations leading to multiple limit cycles, both in co-dimension one and two. The group defense exponent p is seen to significantly affect the basin of attraction. Last, we posit a delayed version of the model with globally existing solutions for any initial data. Both the ordinary differential equation model and the spatially explicit partial differential equation models are explored. (© 2024 Author(s). Published under an exclusive license by AIP Publishing.)
Databáze:	MEDLINE
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