A stochastic predator–prey model with two competitive preys and Ornstein–Uhlenbeck process
Qun Liu
Abstract
th moment boundedness, asymptotic pathwise estimation in turn. After that, we obtain sufficient conditions for the existence of a stationary distribution of the system by adopting stochastic Lyapunov function methods. In addition, under some mild conditions, we derive the specific form of covariance matrix in the probability density near the quasi-positive equilibrium of the stochastic system. Finally, numerical illustrative examples are depicted to confirm our theoretical findings.
Topics & Concepts
MathematicsOrnstein–Uhlenbeck processApplied mathematicsLyapunov functionStationary distributionPopulationProbability density functionStochastic processMathematical optimizationStatistical physicsStatisticsMarkov chainNonlinear systemSociologyPhysicsQuantum mechanicsDemographyMathematical and Theoretical Epidemiology and Ecology ModelsStochastic processes and statistical mechanicsEvolution and Genetic Dynamics