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Effects of Catastrophic Anemia in an Intra-Host Model of Malaria

Department of Physics, Faculty of Science, University of Dschang, P. O. Box 67 Dschang, Cameroon

UMI 209 IRD/UPMC UMMISCO, Bondy, France and Project-Team GRIMCAPE, LIRIMA, University of Yaounde I, Cameroon.

Laboratory of Applied Mathematics, Department of Mathematics and Computer Science, Faculty of Science, University of Douala, P. O. Box 24157 Douala, Cameroon

UMI 209 IRD/UPMC UMMISCO, Bondy, France and Project-Team GRIMCAPE, LIRIMA, University of Yaounde I, Cameroon.

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David Yemele

Department of Physics, Faculty of Science, University of Dschang, P. O. Box 67 Dschang, Cameroon

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and

Jurgen Kurths

Potsdam Institute for Climate Impact Research (PIK), Telegraphenberg A 31, 14412 Potsdam, Germany

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https://doi.org/10.1142/S0218127414501053Cited by:1

Abstract

In this paper, we develop a mathematical model to assess the strength of the effects of catastrophic anemia level on the dynamical transmission of malaria parasite within the body of a host. We first consider a temporal model. The important mathematical features of the model are thoroughly investigated. We found that the model exhibits forward bifurcation. We also consider a spatiotemporal model using reaction–diffusion equations. The model is numerically analyzed to assess the impact of anemia on the dynamical transmission of malaria parasite within the body of a host. Through numerical simulation, we found that malaria can lead to a catastrophic anemia level even if the parasite is nonpersistent within the body of a host. Numerical results also suggest that to reduce or control the anemia level, the strategy should be to accelerate innate cell reproduction rate or should have the ability to clean parasitized red blood cells (PRBCs) with a high mortality rate.

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References

S. H. Abdalla , S. N. Wickramasinghe and D. J. Weatherall , Trans. Roy. Soc. Trop. Med. Hyg. 78 , 60 ( 1984 ) . Crossref, ISI, Google Scholar
L. H. Allen , J. Nutr. 133 , 3875S ( 2003 ) . Crossref, ISI, Google Scholar
R. M. Anderson , R. M. May and S. Gupta , Parasitology 99 , 59 ( 1989 ) . Crossref, Google Scholar
R. M. Anderson and R. M. May , Lancet 335 , 641 ( 1990 ) . Crossref, ISI, Google Scholar
R. M. Anderson , Int. J. Parasitol. 28 , 551 ( 1998 ) . Crossref, ISI, Google Scholar
B. Brabin , J. Z. Premji and F. Verhoeff , J. Nutr. 131 , 636 ( 2001 ) . Crossref, Google Scholar
C. Pascual and D. J. Roberts , Curr. Mol. Med. 6 , 155 ( 2006 ) . Crossref, ISI, Google Scholar
N. Chitnis , J. M. Hyman and J. M. Cushing , Bull. Math. Biol. 70 , 1272 ( 2008 ) . Crossref, ISI, Google Scholar
J. Crawley , Am. J. Trop. Med. Hyg. 71 , 25 ( 2004 ) . Crossref, ISI, Google Scholar
H. H. Diebner et al. , J. Theoret. Biol. 202 , 113 ( 2000 ) . Crossref, ISI, Google Scholar
O. Diekmann , J. A. P. Heesterbeek and J. A. J. Metz , J. Math. Biol. 2 , 365 ( 1990 ) . ISI, Google Scholar
M. B. Gravenor , A. R. McLean and D. Kwiatkowski , Parasitology 110 , 115 ( 1995 ) . Crossref, ISI, Google Scholar
M. B. Gravenor and A. L. Lloyd , Parasitology 117 , 409 ( 1998 ) . Crossref, ISI, Google Scholar
M. B. Gravenor , M. B. Van Hensbroek and D. Kwiatkowski , Proc. Natl. Acad. Sci. USA 95 , 7620 ( 1998 ) . Crossref, ISI, Google Scholar
M. B. Gravenor et al. , J. Theoret. Biol. 217 , 137 ( 2002 ) . Crossref, ISI, Google Scholar
B. Hellriegel , Proc. Roy. Soc. Lond. Ser. B: Biol. Sci. 250 , 249 ( 1992 ) . Crossref, ISI, Google Scholar
C. Hetzel and R. M. Anderson , Parasitology 113 , 25 ( 1996 ) . Crossref, ISI, Google Scholar
M. Hoshen et al. , Parasitology 121 , 227 ( 2001 ) . Crossref, ISI, Google Scholar
G. N. Jakeman et al. , Parasitology 119 , 127 ( 1999 ) . Crossref, ISI, Google Scholar
E. L. Korenromp et al. , Trop. Med. Int. Health 9 , 1050 ( 2004 ) . Crossref, ISI, Google Scholar
T. J. Lamb et al. , Expert Rev. Mol. Med. 8 , 1 ( 2006 ) . Crossref, Google Scholar
A. A. Lamikanra et al. , Blood 110 , 18 ( 2007 ) . Crossref, ISI, Google Scholar
K. Maitland , P. Bejon and C. R. Newton , Curr. Opin. Infect. Dis. 16 , 389 ( 2003 ) . Crossref, ISI, Google Scholar
D. P. Mason , F. E. McKenzie and W. H. Bossert , J. Theoret. Biol. 198 , 549 ( 1999 ) . Crossref, ISI, Google Scholar
F. E. McKenzie and W. H. Bossert , J. Theoret. Biol. 188 , 127 ( 1997 ) . Crossref, ISI, Google Scholar
F. E. McKenzie and W. H. Bossert , J. Theoret. Biol. 193 , 419 ( 1998 ) . Crossref, ISI, Google Scholar
L. Molineaux and K. Dietz , Parasitology 41 , 221 ( 2000 ) . Google Scholar
L. Molineaux et al. , Parasitology 122 , 379 ( 2001 ) . Crossref, ISI, Google Scholar
R. N. Price et al. , Am. J. Trop. Med. Hyg. 65 , 614 ( 2001 ) . Crossref, ISI, Google Scholar
V. Robert and C. Boudin , Parasitologie 1 , 10 ( 2002 ) . Google Scholar
P. van den Driessche and J. Watmough , Math. Biol. 180 , 29 ( 2002 ) . Google Scholar
World Health Organization [2003] Minutes MERG Anaemia Task Force Meeting: 27–28th Oct. 2003, http://www.rollbackmalaria.org/…/wg/wg…/MERG-Anaemia-tfm1-minutes.doc . Google Scholar
World Health Organization [2012] World Malaria Report, http://www.who.int/malaria/world-malaria-report-2012/en/ . Google Scholar

Vol. 24, No. 07

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Received 22 September 2013

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Effects of Catastrophic Anemia in an Intra-Host Model of Malaria

Abstract

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