Logistic models with regime switching: permanence and ergodicity
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Publication:276803
DOI10.1016/j.jmaa.2016.04.016zbMath1357.92064OpenAlexW2340679124MaRDI QIDQ276803
Publication date: 4 May 2016
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.04.016
Markov chainstationary distributionpositive recurrencestochastic permanencestochastic logistic model
Population dynamics (general) (92D25) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)
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Cites Work
- Almost sure permanence of stochastic single species models
- Dynamical behavior of Lotka-Volterra competition systems: non-autonomous bistable case and the effect of telegraph noise
- Persistence and extinction in stochastic non-autonomous logistic systems
- Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching
- Delay differential equations: with applications in population dynamics
- Persistence in stochastic food web models
- Evolution of predator-prey systems described by a Lotka-Volterra equation under random environment
- Asymptotic expansions of solutions of integro-differential equations for transition densities of singularly perturbed switching diffusions: Rapid switchings
- Asymptotic behaviour of the stochastic Lotka-Volterra model.
- Mathematical biology. Vol. 1: An introduction.
- Environmental Brownian noise suppresses explosions in population dynamics.
- Stability of regime-switching stochastic differential equations
- Asymptotic properties and simulations of a stochastic logistic model under regime switching II
- Stochastic population dynamics under regime switching
- Asymptotic Properties of Hybrid Diffusion Systems
- Stochastic Lotka–Volterra Population Dynamics with Infinite Delay
- Stochastic Differential Equations with Markovian Switching
- DELAY POPULATION DYNAMICS AND ENVIRONMENTAL NOISE
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