Plasmodium Vivax Malaria Transmission in a Network of Villages
Malaria is a serious, acute and chronic relapsing
infection to humans. It is characterized by periodic attacks of chills,
fever, nausea, vomiting, back pain, increased sweating anemia,
splenomegaly (enlargement of the spleen) and often-fatal
complications.The malaria disease is caused by the multiplication of
protozoa parasite of the genus Plasmodium. Malaria in humans is due
to 4 types of malaria parasites such that Plasmodium falciparum,
Plasmodium vivax, Plasmodium malariae and Plasmodium ovale.
P.vivax malaria differs from P. falciparum malaria in that a person
suffering from P. vivax malaria can experience relapses of the
disease. Between the relapses, the malaria parasite will remain
dormant in the liver of the patient, leading to the patient being
classified as being in the dormant class. A mathematical model for
the transmission of P. vivax is developed in which the human
population is divided into four classes, the susceptible, the infected,
the dormant and the recovered. In this paper, we formulate the
dynamical model of P. vivax malaria to see the distribution of this
disease at the district level.
[1] WHO World malaria situation in 1994. Weekly Epidemiological Record.
WHO 1997, vol.72, no.38, 269-276.
[2] PCC.Garnhan, Malaria parasites of man: life-cycles and morphology
(excluding unltrastructure) IN W.H. Wernsdorfer and I. McGregor
(Eds), Malaria, Churchill Livingstone, Edinburg, 1988.
[3] WHO, World Malaria Situation in 1994: Weekly Epidemiological
Record, Geneva, 1997.
[4] Annual Epidemiological Surveillance Report, 2003-2006, Division of
Epidemiology, Ministry of Public Health, Royal Thai Government.
[5] B.Sina, "Focus on Plasmodium Vivax," Trends in Parasitology, vol.18,
pp.287-289, 2002.
[6] R.M.Anderson and R.M.May, Infectious Disease of Humans, Dynamics
and Control.Oxford U. Press, Oxford, 1991.
[7] A.Kammanee, N.Kanyamee and I.M.Tang, "Basic Reproduction
Number for the Transmission of Plasmodium Vivax Malaria," Southeast
Asian Journal of Tropical Medicine and Public Health , vol.32, pp.702-
706, 2001.
[8] R.Ross, The preventation of Malaria, 2th ed. Murray, London, 1911.
[9] G.MacDonald, The epidemiology and control of malaria. Oxford
University Press, London, 1957.
[10] L.Esteva and C.Vargas, "Analysis of a dengue disease transmission
model," Mathematical Bioscience, vol.150, pp.131-151, 1998.
[1] WHO World malaria situation in 1994. Weekly Epidemiological Record.
WHO 1997, vol.72, no.38, 269-276.
[2] PCC.Garnhan, Malaria parasites of man: life-cycles and morphology
(excluding unltrastructure) IN W.H. Wernsdorfer and I. McGregor
(Eds), Malaria, Churchill Livingstone, Edinburg, 1988.
[3] WHO, World Malaria Situation in 1994: Weekly Epidemiological
Record, Geneva, 1997.
[4] Annual Epidemiological Surveillance Report, 2003-2006, Division of
Epidemiology, Ministry of Public Health, Royal Thai Government.
[5] B.Sina, "Focus on Plasmodium Vivax," Trends in Parasitology, vol.18,
pp.287-289, 2002.
[6] R.M.Anderson and R.M.May, Infectious Disease of Humans, Dynamics
and Control.Oxford U. Press, Oxford, 1991.
[7] A.Kammanee, N.Kanyamee and I.M.Tang, "Basic Reproduction
Number for the Transmission of Plasmodium Vivax Malaria," Southeast
Asian Journal of Tropical Medicine and Public Health , vol.32, pp.702-
706, 2001.
[8] R.Ross, The preventation of Malaria, 2th ed. Murray, London, 1911.
[9] G.MacDonald, The epidemiology and control of malaria. Oxford
University Press, London, 1957.
[10] L.Esteva and C.Vargas, "Analysis of a dengue disease transmission
model," Mathematical Bioscience, vol.150, pp.131-151, 1998.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:61995", author = "P. Pongsumpun and I. M. Tang", title = "Plasmodium Vivax Malaria Transmission in a Network of Villages", abstract = "Malaria is a serious, acute and chronic relapsing
infection to humans. It is characterized by periodic attacks of chills,
fever, nausea, vomiting, back pain, increased sweating anemia,
splenomegaly (enlargement of the spleen) and often-fatal
complications.The malaria disease is caused by the multiplication of
protozoa parasite of the genus Plasmodium. Malaria in humans is due
to 4 types of malaria parasites such that Plasmodium falciparum,
Plasmodium vivax, Plasmodium malariae and Plasmodium ovale.
P.vivax malaria differs from P. falciparum malaria in that a person
suffering from P. vivax malaria can experience relapses of the
disease. Between the relapses, the malaria parasite will remain
dormant in the liver of the patient, leading to the patient being
classified as being in the dormant class. A mathematical model for
the transmission of P. vivax is developed in which the human
population is divided into four classes, the susceptible, the infected,
the dormant and the recovered. In this paper, we formulate the
dynamical model of P. vivax malaria to see the distribution of this
disease at the district level.", keywords = "Dynamical model, household, local level,Plasmodium Vivax Malaria.", volume = "2", number = "8", pages = "597-5", }