On a Class of Stochastic Differential Equations with Random and Hölder Continuous Coefficients Arising in Biological Modeling

Author:

Bernardi EnricoORCID,Chuni Vinayak,Lanconelli AlbertoORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Engineering,Modelling and Simulation

Reference13 articles.

1. Allen, E.: Modelling with Itô Stochastic Differential Equations. Springer, London (2007)

2. Allen, L.J.S.: An introduction to stochastic epidemic models in mathematical epidemiology. In: Brauer, F., van den Driessche, P., Wu, J. (eds.) Lecture Notes in Biomathematics, Mathematical Biosciences Subseries, vol. 1945, pp. 81–130. Springer, Berlin (2008)

3. Allen, L.J.S., Burgin, A.M.: Comparison of deterministic and stochastic SIS and SIR models in discrete time. Math. Biosci. 163, 1–33 (2000)

4. Gray, A., Greenhalgh, D., Hu, L., Mao, X., Pan, J.: A stochastic differential equation SIS epidemic model. SIAM J. Appl. Math. 71(3), 876–902 (2011)

5. Greenhalgh, D., Liang, Y., Mao, X.: SDE SIS epidemic model with demographic stochasticity and varying population size. Appl. Math. Comput. 276, 218–238 (2016)

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