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- Title
On the Properties of a Class of Impulsive Competition Beverton–Holt Equations.
- Authors
De la Sen, Manuel; Ibeas, Asier; Alonso-Quesada, Santiago; Garrido, Aitor J.; Garrido, Izaskun
- 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.
- Subjects
LOTKA-Volterra equations; EQUATIONS; DIFFERENCE equations
- Publication
Applied Sciences (2076-3417), 2021, Vol 11, Issue 19, p9020
- ISSN
2076-3417
- Publication type
Article
- DOI
10.3390/app11199020