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

Year 2017, Volume: 5 Issue: 3, 182 - 207, 01.07.2017

Abstract


References

  • 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.
  • RM Anderson, RM May, and S Gupta. Non-linear phenomena in hostparasite interactions. Parasitology, 99(S1):S59–S79, 1989.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • Michael F Good. Towards a blood-stage vaccine for malaria: Are we following all the leads? Nature Reviews Immunology, 1(2):117–125, 2001.
  • 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.
  • Sam M. Kinyanjui. The immunology of malaria. In Omolade O. Okwa, editor, Malaria parasites, chapter 10, pages 175–201. InTech, 2012.
  • 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.
  • 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.
  • 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.
  • Kenrad E Nelson and Carolyn MastersWilliams. Infectious disease epidemiology: theory and practice. Jones&Bartlett Publishers, Burlington, USA, 2014.
  • 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.
  • 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.
  • 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.
Year 2017, Volume: 5 Issue: 3, 182 - 207, 01.07.2017

Abstract

References

  • 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.
  • RM Anderson, RM May, and S Gupta. Non-linear phenomena in hostparasite interactions. Parasitology, 99(S1):S59–S79, 1989.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • Michael F Good. Towards a blood-stage vaccine for malaria: Are we following all the leads? Nature Reviews Immunology, 1(2):117–125, 2001.
  • 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.
  • Sam M. Kinyanjui. The immunology of malaria. In Omolade O. Okwa, editor, Malaria parasites, chapter 10, pages 175–201. InTech, 2012.
  • 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.
  • 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.
  • 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.
  • Kenrad E Nelson and Carolyn MastersWilliams. Infectious disease epidemiology: theory and practice. Jones&Bartlett Publishers, Burlington, USA, 2014.
  • 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.
  • 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.
  • 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.
There are 21 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Mohamed A. Selemani This is me

Livingstone S. Luboobi This is me

Yaw Nkansah-gyekye This is me

Publication Date July 1, 2017
Published in Issue Year 2017 Volume: 5 Issue: 3

Cite

APA Selemani, M. A., Luboobi, L. S., & Nkansah-gyekye, Y. (2017). The in-Human Host and in-Mosquito Dynamics of Malaria Parasites With Immune Responses. New Trends in Mathematical Sciences, 5(3), 182-207.
AMA Selemani MA, Luboobi LS, Nkansah-gyekye Y. The in-Human Host and in-Mosquito Dynamics of Malaria Parasites With Immune Responses. New Trends in Mathematical Sciences. July 2017;5(3):182-207.
Chicago Selemani, Mohamed A., Livingstone S. Luboobi, and Yaw Nkansah-gyekye. “The in-Human Host and in-Mosquito Dynamics of Malaria Parasites With Immune Responses”. New Trends in Mathematical Sciences 5, no. 3 (July 2017): 182-207.
EndNote Selemani MA, Luboobi LS, Nkansah-gyekye Y (July 1, 2017) The in-Human Host and in-Mosquito Dynamics of Malaria Parasites With Immune Responses. New Trends in Mathematical Sciences 5 3 182–207.
IEEE M. A. Selemani, L. S. Luboobi, and Y. Nkansah-gyekye, “The in-Human Host and in-Mosquito Dynamics of Malaria Parasites With Immune Responses”, New Trends in Mathematical Sciences, vol. 5, no. 3, pp. 182–207, 2017.
ISNAD Selemani, Mohamed A. et al. “The in-Human Host and in-Mosquito Dynamics of Malaria Parasites With Immune Responses”. New Trends in Mathematical Sciences 5/3 (July 2017), 182-207.
JAMA Selemani MA, Luboobi LS, Nkansah-gyekye Y. The in-Human Host and in-Mosquito Dynamics of Malaria Parasites With Immune Responses. New Trends in Mathematical Sciences. 2017;5:182–207.
MLA Selemani, Mohamed A. et al. “The in-Human Host and in-Mosquito Dynamics of Malaria Parasites With Immune Responses”. New Trends in Mathematical Sciences, vol. 5, no. 3, 2017, pp. 182-07.
Vancouver Selemani MA, Luboobi LS, Nkansah-gyekye Y. The in-Human Host and in-Mosquito Dynamics of Malaria Parasites With Immune Responses. New Trends in Mathematical Sciences. 2017;5(3):182-207.