On the properties of a class of impulsive competition Beverton-Holt equations
De la Sen, Manuel (Universidad del País Vasco. Instituto de Investigación y Desarrollo de Procesos)
Ibeas, Asier (Universitat Autònoma de Barcelona. Departament de Telecomunicació i Enginyeria de Sistemes)
Alonso-Quesada, Santiago (Universidad del País Vasco. Instituto de Investigación y Desarrollo de Procesos)
Garrido, Aitor J. (Universidad del País Vasco. Departamento de Ingeniería de Sistemas y Control Automático)
Garrido, Izaskun (Universidad del País Vasco. Departamento de Ingeniería de Sistemas y Control Automático)

Date:	2021
Abstract:	This paper is devoted to a type of combined impulsive discrete Beverton-Holt equations in ecology when eventual discontinuities at sampling time instants are considered. Such discontinuities could be interpreted as impulses in the corresponding continuous-time logistic equations. The set of equations involve competition-type coupled dynamics among a finite set of species. It is assumed that, in general, the intrinsic growth rates and the carrying capacities are eventually distinct for the various species. The impulsive parts of the equations are parameterized by harvesting quotas and independent consumptions which are also eventually distinct for the various species and which control the populations' evolution. The performed study includes the existence of extinction and non-extinction equilibrium points, the conditions of non-negativity and boundedness of the solutions for given finite non-negative initial conditions and the conditions of asymptotic stability without or with extinction of the solutions.
Grants:	Agencia Estatal de Investigación RTI2018-094336-B-I00
Note:	Altres ajuts: Basque Government for its support through grant IT1207-19
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Difference equations ; Discrete Beverton-Holt equation ; Impulsive equations ; Competition ; Beverton-Holt equations ; Equilibrium points ; Non-negativity ; Boundedness
Published in:	Applied Sciences, Vol. 11, Issue 19 (October 2021) , art. 9020, ISSN 1454-5101

DOI: 10.3390/app11199020

38 p, 2.4 MB

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