Suppressing Epidemic Spreading Via Differential Susceptibility Models
DOI:
https://doi.org/10.53555/nnas.v5i2.637Keywords:
Mathematical modeling, Epidemiological model, Differential susceptibility, Optimal ControlAbstract
This paper considers the optimal control problem for some models using differential equations in epidemiology. In particular, we consider the differential susceptibility model(DS). Because of apparent diversity of examples, the idea of dividing susceptible population into two subgroups examined. For example in plenty of diseases, disease processes is different in male or female, children or adult, addicted or non-addicted, and so on. We show that it would be useful to consider this difference to reduce the costs in epidemic spreading. We want to exert some parameters in differential susceptibility model to control the epidemic spreading. The optimal control represents a drug treatment and Prevention strategies. Existence and uniqueness results for the optimal control are discussed. Finally, numerical examples are given for illustration.
References
Abiodun GJ, Marcus N, Okosun KO, Wittbooi P.J(2013), A model for control of HIV/AIDS with parental care, in: International Journal of Biomathematics, Volume 06, Issue 02.
Bolker B.M, Grenfell B.T,(1993), Chaos and biological complexity in measles dynamics, Proc. R.Soc. Lond. B. 251, 75-81.
Capasso V,(1993), Mathematical structure of the epidemic systems, in: Lecture Notes in Biomathematics, vol. 97, Springer-Verlag, Berlin, Heidelberg.
Castillo-Chavez C, Cooke K.L, Huang W, Levin S.A. (1989), On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome (AIDS). Part 2: Multiple group models. In: Castillo-Chavez, C. (ed.) Mathematical and Statistical Approaches to AIDS Epidemiology, (Lecture Notes in Biomathematics, Vol. 83) Springer-Verlag, Heidlberg.
Cleary T.G(1988)., SCytoxin-producing Escherichia coli and the hemolytic uremic syndrome, Pediatric. Clinics of North America 35 485-501.
Deuflhard, P. and Bornemann, F,(2002), Scientific computing with ordinary differential equations,
volume 42. Texts in Applied Mathematics, Springer, Berlin.
Duncan C.J, Duncan S.R, Scott S,(1996) ,Whooping cough, epidemic in London 1701- 1812, infection dynamics, seasonal forcing and the effects of malnutrition. Proc. R. Soc. Lond. B. 263, 445-450 .
Fister K, Donnelly J, (2005),Immunotherapy: An optimal control theory approach, Mathematical
Biosciences and Engineering, 499-510.
Fleming W. H, Rishel, R(1975), Deterministic and Stochastic Optimal Control, Springer Verlag, New York.
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