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Permanence via invasion graphs: incorporating community assembly into modern coexistence theory
To understand the mechanisms underlying species coexistence, ecologists often study invasion growth rates of theoretical and data-driven models....
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Partial permanence and stationary distribution of a stochastic competitive model with feedback controls and distributed delays
A two-species stochastic competitive model with distributed delays and feedback controls is constructed to reveal the effect of both environmental...
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Bifurcations, Permanence and Local Behavior of the Plant-Herbivore Model with Logistic Growth of Plant Biomass
This paper investigates the plant-herbivore model’s dynamics. The plant’s biomass without herbivores growth with logistic equation assuming that the...
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From Chaos to Permanence Using Control Theory (Research)
Work by Costantino et al. (Am Assoc Adv Sci 275(5298):389–391, 1997) and Kot et al. (Bull Math Biol 54(4):619–648, 1992) demonstrate that chaotic...
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Permanence, Extinction and Periodicity to a Stochastic Competitive Model with Infinite Distributed Delays
In this paper, we study a stochastic Lotka–Volterra competitive model with infinite distributed delays. We obtain sufficient but almost necessary...
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Dynamics of N-Species Cooperation Models with Feedback Controls and Continuous Delays
This paper studies N-species Lotka–Volterra cooperation models with feedback controls and continuous delays. Several conditions for the global...
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Dynamical Analysis of Nonautonomous Trophic Cascade Chemostat Model with Regime Switching and Nonlinear Perturbations in a Polluted Environment
This paper investigates the stochastic dynamics of trophic cascade chemostat model perturbed by regime switching, Gaussian white noise and impulsive...
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On the dynamic asymptotic dimension of étale groupoids
We investigate the dynamic asymptotic dimension for étale groupoids introduced by Guentner, Willett and Yu. In particular, we establish several...
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Permanence of weak comparison for large subalgebras
Let A be an infinite dimensional simple unital stably finite C*-algebra and B be a large subalgebra of A . In this paper, we show that B has local...
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Dynamics of a predator–prey fishery model with birth pulse, impulsive releasing and harvesting on prey
This paper presents a predator–prey fishery model with impulsive effects, which considers transient/nontransient pulse birth and introduces the...
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A permanence property for dominated multilinear operators
In this paper we prove the following permanence property for dominated multilinear operators, which is new even in the linear case, namely: let k be...
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The influence of Lévy noise on the dynamical behavior of a stochastic HIV/AIDS model with vertical transmission
This paper examined the behavior of the HIV/AIDS epidemic stochastic model driven by both White Noise and Lévy jumps. Initially, we demonstrated that...
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Analysis of a stochastic hybrid population model with impulsive perturbations and Allee effect
A stochastic hybrid population model with Allee effect, Markovian switching and impulsive perturbations is proposed and studied. Sufficient...
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The impact of delays on prey-predator dynamics with predation-induced fear
This study explores a prey-predator model with a Holling type II functional response, focusing on how predation-induced fear affects prey dynamics....
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Pseudo almost periodic solutions and global exponential stability of a generalized population model with delays and harvesting term
In this paper, a generalized population model with delays and harvesting term is studied, which includes some well-known models, such as Gilpin–Ayala...
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Global Hopf Bifurcation of a Diffusive Modified Leslie–Gower Predator–Prey Model with Delay and Michaelis–Menten Type Prey Harvesting
In this paper, we investigate the global Hopf bifurcation of a diffusive modified Leslie–Gower predator–prey model with delay and Michaelis–Menten...
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Nonconstant Steady States of a Rumor Propagation Model
This paper reports some qualitative results of a diffusive rumor propagation model with homogeneous no-flux boundary conditions. Firstly, the...
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A Strong Variant of Weyl’s Theorem Under Functional Calculus and Perturbations
The aim of this paper is the study of a new and strong variant (SW) of the classical Weyl’s theorem, for operators defined on Banach spaces, under...
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Bifurcation and chaos in a discrete Holling–Tanner model with Beddington–DeAngelis functional response
The dynamics of a discrete Holling–Tanner model with Beddington–DeAngelis functional response is studied. The permanence and local stability of fixed...
