Memory-Modulated CIR Process with Discrete Delay Coefficients

Pathiranage Lochana Siriwardena, Harry Hughes, D. G. Wilathgamuwa
2020 Journal of Stochastic Analysis  
This paper proposes a stochastic model with discrete delay coefficients for modeling population dynamics. This model is a memory-modulated version of the well known CIR process. Existence and uniqueness of the global solution and non-negativity of the solution are discussed. Significantly, results concerning persistence of the population and other longterm qualitative behaviors of these non-Markov processes are obtained using hitting times. Under particular parameter values, the model exhibits
more » ... eflection at the zero boundary and so models populations that persist due to the influence of past population.
doi:10.31390/josa.1.2.03 fatcat:zi73ehsd3je4vnwgfw2xfxqxve