The threshold of stochastic Gilpin–Ayala model subject to general Lévy jumps
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-018-01234-x
Abstract: This paper investigates a stochastic Gilpin–Ayala model with general Lévy jumps and stochastic perturbation to around the positive equilibrium of corresponding deterministic model. Sufficient conditions for extinction are established as well as nonpersistence in the… read more here.
Keywords: gilpin ayala; ayala model; general jumps; model ... See more keywords
Global exponential stability of positive periodic solutions for a class of multiple species Gilpin-Ayala system with infinite distributed time delays
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Control"
DOI: 10.1080/00207179.2019.1598582
Abstract: This paper is concerned with a class of multiple species Gilpin-Ayala system with infinity distributed time delays. By applying fixed-point index theory, we have established some new sufficient conditions to ensure the existence of positive… read more here.
Keywords: species gilpin; system; gilpin ayala; multiple species ... See more keywords
Dynamics of an autonomous Gilpin–Ayala competition model with random perturbation
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DOI: 10.1142/s1793524520500436
Abstract: This paper discusses the dynamics of a Gilpin–Ayala competition model of two interacting species perturbed by white noise. We obtain the existence of a unique global positive solution of the system and the solution is… read more here.
Keywords: gilpin ayala; competition model; dynamics autonomous; ayala competition ... See more keywords
Existence of positive periodic solutions for a class of Gilpin-Ayala ecological models with discrete and distributed time delays
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DOI: 10.1186/s13662-017-1386-9
Abstract: In this paper, we deal with a class of Gilpin-Ayala ecological models with discrete and distributed time delays. By employing a fixed point theorem of strict-set-contraction and inequality techniques, some sufficient conditions for the existence… read more here.
Keywords: gilpin ayala; discrete distributed; class gilpin; models discrete ... See more keywords