The in-Human Host and in-Mosquito Dynamics of Malaria Parasites With Immune Responses

Abstract

Keywords

• Malaria parasites,in-human host and in-mosquito dynamics,immune responses

Kaynakça

1. Folashade B Agusto, Nizar Marcus, and Kazeem O Okosun. Application of optimal control to the epidemiology of malaria. Electronic Journal of Differential Equations, 2012(81):1–22, 2012.
2. RM Anderson, RM May, and S Gupta. Non-linear phenomena in hostparasite interactions. Parasitology, 99(S1):S59–S79, 1989.
3. K Artavanis-Tsakonas, JE Tongren, and EM Riley. The war between the malaria parasite and the immune system: immunity, immunoregulation and immunopathology. Clinical & Experimental Immunology, 133(2):145–152, 2003.
4. DJ Austin, NJ White, and RM Anderson. The dynamics of drug action on the within-host population growth of infectious agents: melding pharmacokinetics with pathogen population dynamics. Journal of theoretical biology, 194(3):313–339, 1998.
5. Carlos Castillo-Chavez, Zhilan Feng, and Wenzhang Huang. On the computation of R0 and its role in global stability. In Carlos Castillo-Ch´avez, Sally Blower, Pauline Van den Driessche, Denise Kirschner, and Abdul-Aziz Yakubu, editors, Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction, pages 229–250. Springer, 2002.
6. C Chiyaka,WGarira, and S Dube. Modelling immune response and drug therapy in human malaria infection. Computational and Mathematical Methods in Medicine, 9(2):143–163, 2008.
7. Giampietro Corradin and Jelena Levitskaya. Priming of CD8+ T cell responses to liver stage malaria parasite antigens. Frontiers in Immunology, 5(527):1–6, 2014.
8. Dari F Da, Thomas S Churcher, Rakiswend´e S Yerbanga, Bienvenue Yam´eogo, Ibrahim Sangar´e, Jean Bosco Ouedraogo, Robert E Sinden, Andrew M Blagborough, and Anna Cohuet. Experimental study of the relationship between plasmodium gametocyte density and infection success in mosquitoes; implications for the evaluation of malaria transmission-reducing interventions. Experimental parasitology, 149:74–83, 2015.

9. Hans H Diebner, Martin Eichner, Louis Molineaux, William E Collins, Geoffrey M Jeffery, and Klaus Dietz. Modelling the transition of asexual blood stages of plasmodium falciparum to gametocytes. Journal of Theoretical Biology, 202(2):113–127, 2000.
10. S Dube, Winston Garira, and Christinah Chiyaka. Using mathematics to understand malaria infection during erythrocytic stages. Zimbabwe Journal of Science and Technology, 5:1–11, 2010.
11. Yves Dumont, Frederic Chiroleu, and Caroline Domerg. On a temporal model for the chikungunya disease: Modeling, theory and numerics. Mathematical biosciences, 213(1):80–91, 2008.
12. Michael F Good. Towards a blood-stage vaccine for malaria: Are we following all the leads? Nature Reviews Immunology, 1(2):117–125, 2001.
13. Jean Claude Kamgang and Gauthier Sallet. Computation of threshold conditions for epidemiological models and global stability of the disease-free equilibrium (dfe). Mathematical biosciences, 213(1):1–12, 2008.
14. Sam M. Kinyanjui. The immunology of malaria. In Omolade O. Okwa, editor, Malaria parasites, chapter 10, pages 175–201. InTech, 2012.
15. Jean Langhorne, Francis M Ndungu, Anne-Marit Sponaas, and Kevin Marsh. Immunity to malaria: more questions than answers. Nature immunology, 9(7):725–732, 2008.
16. Yilong Li, Shigui Ruan, and Dongmei Xiao. The within-host dynamics of malaria infection with immune response. Mathematical Biosciences and Engineering, 8(4):999–1018, 2011.
17. Saul C Mpeshe, Livingstone S Luboobi, and Yaw Nkansah-Gyekye. Stability analysis of the rift valley fever dynamical model. Journal of Mathematical and Computational Science, 4(4):740–762, 2014.
18. Kenrad E Nelson and Carolyn MastersWilliams. Infectious disease epidemiology: theory and practice. Jones&Bartlett Publishers, Burlington, USA, 2014.
19. Mohamed A Selemani, Livingstone S Luboobi, and Yaw Nkansah-Gyekye. On stability of the in-human host and in-mosquito of malaria parasites. Asian Journal of Mathematics and Applications, Vol. 2016:article ID ama0353, 23 pages, 2016.
20. J Tumwiine, JYT Mugisha, and Livingstone S Luboobi. On global stability of the intra-host dynamics of malaria and the immune system. Journal of Mathematical Analysis and Applications, 341(2):855–869, 2008.
21. Pauline Van den Driessche and JamesWatmough. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Mathematical biosciences, 180(1):29–48, 2002.