References
- Akimenko V. An age-structured SIR epidemic model with fixed incubation period of infection. Comput Math Appl. 2017;73(7):1485–1504. doi: 10.1016/j.camwa.2017.01.022
- Anderson RM, May RM, Anderson B. Infectious diseases of humans: dynamics and control. London: Oxford University Press; 1992.
- Armbruster B, Beck E. An elementary proof of convergence to the mean-field equations for an epidemic model. IMA J Appl Math. 2017;82(1):152–157. doi: 10.1093/imamat/hxw010
- Bacaër N. A short history of mathematical population dynamics. London: Springer Science and Business Media; 2011.
- Diekmann O, Heesterbeek JAP. Mathematical epidemiology of infectious diseases. model building, analysis and interpretation. Chichester (NY): John Wiley and Sons; 2000.
- Ge J, Lin L, Zhang L. A diffusive SIS epidemic model incorporating the media coverage impact in the heterogeneous environment. Discrete Contin Dyn Syst Ser B. 2017;22(7):2763–2776.
- Ge Q, Li Z, Teng Z. Probability analysis of a stochastic SIS epidemic model. Stoch Dyn. 2017;17(6):1750041. 18 pp. doi: 10.1142/S0219493717500411
- Koivu-Jolma M, Annila A. Epidemic as a natural process. Math Biosci. 2018;299:97–102. doi: 10.1016/j.mbs.2018.03.012
- Lu X, Wang Sh, Liu Sh, et al. An SEI infection model incorporating media impact. Math Biosci Eng. 2017;14(5–6):1317–1335. doi: 10.3934/mbe.2017068
- Nwankwo A, Okuonghae D. Mathematical analysis of the transmission dynamics of HIV syphilis co-infection in the presence of treatment for syphilis. Bull Math Biol. 2018;80(3):437–492. doi: 10.1007/s11538-017-0384-0
- Saad-Roy CM, Van den Driessche P, Yakubu AA. A mathematical model of anthrax transmission in animal populations. Bull Math Biol. 2017;79(2):303–324. doi: 10.1007/s11538-016-0238-1
- Veliov VM. Numerical approximations in optimal control of a class of heterogeneous systems. Comput Math Appl. 2015;70(11):2652–2660. doi: 10.1016/j.camwa.2015.04.029
- Widder A, Kuehn Ch. Heterogeneous population dynamics and scaling laws near epidemic outbreaks. Math Biosci Eng. 2016;13(5):1093–1118. doi: 10.3934/mbe.2016032
- Chou IC, Voit EO. Recent developments in parameter estimation and structure identification of biochemical and genomic systems Math. Biosci. 2009;219:57–83.
- Coronel A, Huancas F, Sepúlveda M. A note on the existence and stability of an inverse problem for a SIS model. Too appear in Comput Math Appl.
- Xiang H, Liu B. Solving the inverse problem of an SIS epidemic reaction-diffusion model by optimal control methods. Comput Math Appl. 2015;70:805–819. doi: 10.1016/j.camwa.2015.05.025
- Chen Q, Liu JJ. Solving an inverse parabolic problem by optimization from final measurement data. J Comput Appl Math. 2006;193:183–203. doi: 10.1016/j.cam.2005.06.003
- Dembele B, Friedman A, Yakubu AA. Mathematical model for optimal use of sulfadoxine-pyrimethamine as a temporary malaria vaccine. Bull Math Biology. 2010;72(4):914–930. doi: 10.1007/s11538-009-9476-9
- Deng ZC, Liu Y, Yu JN, et al. An inverse problem of identifying the coefficient in a nonlinear parabolic equation. Nonlinear Anal. 2009;71:6212–6221. doi: 10.1016/j.na.2009.06.014
- Marinov TT, Marinova RS, Omojola J, et al. Inverse problem for coefficient identification in SIR epidemic models. Comput Math Appl. 2014;67:2218–2227. doi: 10.1016/j.camwa.2014.02.002
- Rahmoun A, Ainseba B, Benmerzouk D. Optimal control applied on an HIV-1 within-host model. Math Meth Appl Sci. 2016;39:2118–2135. doi: 10.1002/mma.3628
- Sakthivel K, Gnanavel S, Barani Balan N, et al. Inverse problem for the reaction diffusion system by optimization method. Appl Math Model. 2011;35:571–579. doi: 10.1016/j.apm.2010.07.024
- Krylov NV. Lectures on elliptic and parabolic equations in sobolev spaces. Providence (RI): American Mathematical Society; 2008.
- Ladyzhenskaya OA, Solonnikov V, Uraltseva N. Linear and quasi-linear equations of parabolic type. Providence (RI): Transl. AMS; 1968.
- Lieberman GM. Second order parabolic differential equations. River Edge (NJ): World Scientific Publishing Co. Inc.; 1996.
- Berres S, Bürger R, Coronel A, et al. Numerical identification of parameters for a strongly degenerate convection-diffusion problem modelling centrifugation of flocculated suspensions. Appl Numer Math. 2005;52(4):311–337. doi: 10.1016/j.apnum.2004.08.002
- Coronel A, James F, Sepúlveda M. Numerical identification of parameters for a model of sedimentation processes. Inverse Probl. 2003;19(4):951–972. doi: 10.1088/0266-5611/19/4/311
- Apreutesei NC. An optimal control problem for a pest, predator, and plant system. Nonlinear Anal Real World Appl. 2012;13(3):1391–1400. doi: 10.1016/j.nonrwa.2011.11.004