Fractional model for malaria transmission under control strategies
作者： Carla M.A. Pinto , J.A. Tenreiro Machado
DOI: 10.1016/J.CAMWA.2012.11.017
关键词: Order (group theory) 、 Integer 、 Fractional calculus 、 Fractional model 、 Mathematics 、 Delay differential equation 、 Mathematical optimization 、 Malaria transmission 、 Applied mathematics 、 Invariant (mathematics)
摘要: We study a fractional model for malaria transmission under control strategies. consider the integer order proposed by Chiyaka et al. (2008) in [15] and modify it to become model. numerically variation of values derivative parameter that models personal protection, b. From observation figures we conclude as b is increased from 0 1 there corresponding decrease number infectious humans mosquitoes, all @a. This means this result invariant derivative, tested. These results are agreement with those obtained @a=1.0 suggest our epidemiologically well-posed.
core.ac.uk
elsevier.com
sci-hub.se 参考文章(32)
Oleg Igorevich Marichev, Stefan G Samko, Anatoly A Kilbas, Fractional Integrals and Derivatives: Theory and Applications ,(1993)
Kenneth S. Miller, Bertram Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations ,(1993)
Jerome Spanier, Keith B. Oldham, The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order ,(1974)
K Dietz, L Molineaux, A Thomas, A malaria model tested in the African savannah. Bulletin of The World Health Organization. ,vol. 50, pp. 347- 357 ,(1974)
Gelband H, Graves P, Vaccines for preventing malaria (SPf66) (Review). Cochrane Database of Systematic Reviews. ,(2006)
Jean-Marc O Depinay, Charles M Mbogo, Gerry Killeen, Bart Knols, John Beier, John Carlson, Jonathan Dushoff, Peter Billingsley, Henry Mwambi, John Githure, Abdoulaye M Toure, F Ellis McKenzie, A simulation model of African Anopheles ecology and population dynamics for the analysis of malaria transmission Malaria Journal. ,vol. 3, pp. 29- 29 ,(2004) , 10.1186/1475-2875-3-29
Patricia M Graves, Hellen Gelband, Vaccines for preventing malaria (SPf66). Cochrane Database of Systematic Reviews. ,vol. 2006, ,(2006) , 10.1002/14651858.CD005966
Jean Gaudart, Ousmane Touré, Nadine Dessay, A lassane Dicko, Stéphane Ranque, Loic Forest, Jacques Demongeot, Ogobara K Doumbo, Modelling malaria incidence with environmental dependency in a locality of Sudanese savannah area, Mali Malaria Journal. ,vol. 8, pp. 61- 61 ,(2009) , 10.1186/1475-2875-8-61
Carla M. A. Pinto, J. A. Tenreiro Machado, Fractional central pattern generators for bipedal locomotion Nonlinear Dynamics. ,vol. 62, pp. 27- 37 ,(2010) , 10.1007/S11071-010-9696-4
I. Podlubny, Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers IEEE Transactions on Automatic Control. ,vol. 44, pp. 208- 214 ,(1999) , 10.1109/9.739144