Stochastic Population Dynamics Driven by Levy Noise

2011/05/05 by Jianhai Bao, Chenggui Yuan, Bao, Jianhai +1
Mathematics · Medicine · #60J05 #60J60 #93D05 #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Probability (math.PR) #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.1105.1174

openalex publication_date 2011/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper considers stochastic population dynamics driven by Levy noise. The contributions of this paper lie in that (a) Using Khasminskii-Mao theorem, we show that the stochastic differential equation associated with the model has a unique global positive solution; (b) Applying an exponential martingale inequality with jumps, we discuss the asymptotic pathwise estimation of such model.

Citations

• Environmental Brownian noise suppresses explosions in population dynamics

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