Population dynamics driven by truncated stable processes with Markovian switching

DOI10.1017/JPR.2020.102zbMath1476.60083OpenAlexW3174783737MaRDI QIDQ4997203

Jinying Tong, You Liang, Zhen Zhong Zhang, Qingting Meng

Publication date: 28 June 2021

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jpr.2020.102

zbMATH Keywords

ergodicityextinctionstationary distributionMarkovian switching\(\alpha\)-stable processes

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stable stochastic processes (60G52) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (1)

Long time behaviour for population model by \(\alpha \)-stable processes with Markov switching

Cites Work

• Stationary distribution of stochastic population systems
• Competitive Lotka-Volterra population dynamics with jumps
• Stochastic population dynamics under regime switching. II
• Hybrid switching diffusions. Properties and applications
• Properties of switching jump diffusions: maximum principles and Harnack inequalities
• Recurrence and ergodicity for A class of regime-switching jump diffusions
• Stochastic population dynamics under regime switching
• Exponential ergodicity for population dynamics driven by \(\alpha\)-stable processes
• Long-term behavior of stochastic interest rate models with Markov switching
• The Dirichlet problem for stable-like operators and related probabilistic representations
• Lévy Processes and Stochastic Calculus
• Ergodicity for population dynamics driven by stable processes with Markovian switching

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