A new fractional SIRS-SI malaria disease model with application of vaccines, antimalarial drugs, and spraying
作者： Devendra Kumar , Jagdev Singh , Maysaa Al Qurashi , Dumitru Baleanu
DOI: 10.1186/S13662-019-2199-9
关键词:
摘要: The present paper deals with a new fractional SIRS-SI model describing the transmission of malaria disease. is modified by using Caputo–Fabrizio operator for inclusion memory. We also suggest utilization vaccines, antimalarial medicines, and spraying treatment control theory fixed point utilized to examine existence solution spreading malaria. uniqueness analyzed. It shown that treatments have great impact on dynamical system human mosquito populations. numerical simulation performed aid HATM Maple packages show effect different parameters results reveal recommended approach very accurate effective.
springeropen.com
springer.com
sci-hub.se 参考文章(35)
Richard L. Magin, Fractional Calculus in Bioengineering ,(2006)
Abdon Atangana, Badr Alkahtani, Analysis of the Keller-Segel Model with a Fractional Derivative without Singular Kernel Entropy. ,vol. 17, pp. 4439- 4453 ,(2015) , 10.3390/E17064439
Hari M Srivastava, Anatoly A Kilbas, Juan J Trujillo, Theory and Applications of Fractional Differential Equations ,(2006)
Shijun Liao, SA Sherif, Beyond Perturbation: Introduction to the Homotopy Analysis Method ,(2003)
M. Rafikov, L. Bevilacqua, A.P.P. Wyse, Optimal control strategy of malaria vector using genetically modified mosquitoes. Journal of Theoretical Biology. ,vol. 258, pp. 418- 425 ,(2009) , 10.1016/J.JTBI.2008.08.006
Shi-Jun Liao, An approximate solution technique not depending on small parameters: A special example International Journal of Non-linear Mechanics. ,vol. 30, pp. 371- 380 ,(1995) , 10.1016/0020-7462(94)00054-E
John P. Boyd, Pade´ approximant algorithm for solving nonlinear ordinary differential equation boundary value problems on an unbounded domain Computers in Physics. ,vol. 11, pp. 299- 303 ,(1997) , 10.1063/1.168606
C. Chiyaka, J.M. Tchuenche, W. Garira, S. Dube, A mathematical analysis of the effects of control strategies on the transmission dynamics of malaria Applied Mathematics and Computation. ,vol. 195, pp. 641- 662 ,(2008) , 10.1016/J.AMC.2007.05.016
Majid Khan, Muhammad Asif Gondal, Iqtadar Hussain, S. Karimi Vanani, A new comparative study between homotopy analysis transform method and homotopy perturbation transform method on a semi infinite domain Mathematical and Computer Modelling. ,vol. 55, pp. 1143- 1150 ,(2012) , 10.1016/J.MCM.2011.09.038