Malaria transmission model for different levels of acquired immunity and temperature-dependent parameters (vector)

Revista de Saude Publica

Volumn 34, Issue 3, 2000, Pages 223-231

  Yang, Hyun M ^a  

^a UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

Anopheles, parasitology; Epidemiologic models ; Host parasitic relations; Insect vectors; Malaria transmission ; Plasmodium, physiology

Indexed keywords

ANIMAL; ANOPHELES; ARTICLE; BIOLOGICAL MODEL; DISEASE CARRIER; DISEASE TRANSMISSION; HOST PARASITE INTERACTION; HUMAN; IMMUNOLOGY; INCIDENCE; MALARIA; PARASITOLOGY; PHYSIOLOGY; PLASMODIUM; SOCIOECONOMICS; TEMPERATURE;

ANIMALS; ANOPHELES; HOST-PARASITE RELATIONS; HUMANS; INCIDENCE; INSECT VECTORS; MALARIA; MODELS, BIOLOGICAL; PLASMODIUM; SOCIOECONOMIC FACTORS; TEMPERATURE;

EID: 0034201149     PISSN: 00348910     EISSN: None     Source Type: Journal    
DOI: 10.1590/S0034-89102000000300003     Document Type: Article

References (31)

1. Anderson RM, May RM. Infectious diseases of humans: dynamics and control. Oxford: Oxford University Press; 1991.
2. Aron JL. Mathematical modeling of immunity to malaria. Math Biosc 1988;90:385-96.
3. Beier JC, Perkins PV, Koros JK, Onyango FK, Gargan TP, Wirtz RA et al. Malaria sporozoite detection by dissection and ELISA to assess infectivity of afrotropical Anopheles (Diptera: Culicidae). J Med Entomol 1990;27:377-84.
4. Beier JC, Onyango FK, Ramadhan M, Koros JK, Asiago CM, Wirtz RA et al. Quantitation of malaria sporozoites in the salivary glands of wild afrotropical Anopheles. Med Vet Entomol 1991;5:63-70.
5. Beier JC. Malaria sporozoites: survival, transmission and disease control. Parasitol Today 1993;9:210-4.
6. Berman A, Neumann M, Stern R. Nonnegative matrices in dynamic systems. New York: John Wiley & Sons; 1989.
7. Dietz K. Mathematical models for transmission and control of malaria. In: Wesnsdorfer WH, McGregor I, editors. Malaria: principles and practice of malariology. Edinburgh: Churchill Livingstone; 1988. v 2, p. 1091-132.
8. Gamage-Mendis AC, Rajakaruna J, Weerasinghe S, Mendis C, Carter R, Mendis KN. Infectivity of Plasmodium vivax and P. falciparum to Anopheles tessellatus: Relationship between oocyst and sporozoite development. Trans R Soc Trop Med Hyg 1993;87:3-6.
9. Gilles HM, Warrell DA. Bruce Chwatt's essential malariology. London: Edward Arnold; 1993.
10. Greenwood BM, Marsh K, Snow R. Why do some african children develop severe malaria? Parasitol Today 1991;7:277-81.
11. Gupta S, Trenholme K, Anderson RM, Day KP. Antigenic diversity and the transmission dynamics of Plasmodium falciparum. Science 1994;263:961-3.
12. Hogg JC, Hurd H. The effects of natural Plasmodium falciparum infection on the fecundity and mortality of Anopheles gambiae s.l. in north-east Tanzania. Parasitology 1997;114:325-32.
13. Klein TA, Harrison BA, Grove JS, Dixon SV, Aandre SG. Correlation of survival rates of Anopheles dirus (Diptera: Culicidae) with different infection densities of Plasmodium cynamolgi. Bull World Health Organ 1986;64:901-7.
14. Leite MBF, Bassanezi RC, Yang HM. The basic reproduction ratio for a model of directly transmitted infections considering the virus charge and the immunological response. IMA J Math Appl Med Biol 2000;17:15-31.
15. Lines J, Armstrong JRM. For a few parasites more: Inoculum size, vector control and strain-specific immunity to malaria. Parasitol Today 1992;8:381-3.
16. MacDonald G. The epidemiology and control of malaria. London: Oxford University Press; 1957.
17. Massad E, Coutinho FAB, Yang HM, Carvalho HB, Mesquita F, Burattini MN. The basic reproduction ratio of HIV among intravenous drug users. Math Biosc 1994;123:227-47.
18. McKenzie FE, Bossert WH. The dynamics of Plasmodium falciparum blood-stage infection. J Theor Biol 1997;188:127-40.
19. Mercereau-Puijalon O, Fandeur T, Guillote M, Bonnefoy S. Parasite features impeding malaria immunity: Antigenic diversity, antigenic variation and poor immunogenicity. Res Immunol 1991;142:691-7.
20. Pampana E. A textbook of malaria eradication. London: Oxford University Press; 1963.
21. Ramasamy MS, Kulasekara R, Wanniarachi IC, Srikrisharaj KA, Ramasamy R. Interactions of human malaria parasites, Plasmodium vivax and P. falciparum, with the midgut of Anopheles mosquitoes. Med Vet Entomol 1997;11:290-6.
22. Rubio-Pallis Y, Wirtz RA, Curtis CF. Malaria entomological inoculation rates in western Venezuela. Acta Trop 1992;52:167-74.
23. Saul AJ. Transmission dynamics of Plasmodium falciparum. Parasitol Today 1996;12:74-9.
24. Smalley ME, Sinden RE. Plasmodium falciparum gametocytes: their longevity and infectivity. Parasitology 1977;74:1-8.
25. Taylor LH, Walliker D, Read AF. Mixed-genotype infections of the rodent malaria Plasmodium chabaudi are more infectious to mosquitoes than single-genotype infections. Parasitology 1997;115:121-32.
26. [WHO]. World Health Organization. World malaria situation in 1994. Part I. Wkly Epidemiol Rec 1997;72:269-74.
27. Yang HM, Coutinho FAB, Massad E. Acquired immunity on a schistosomiasis transmission model - Fitting the data. J Theor Biol 1997;188:495-506.
28. Yang HM, Yang AC. The stabilizing effects of the acquired immunity on the schistosomiasis transmission - The sensitivity analysis. Mem Inst Oswaldo Cruz 1998;93Suppl 1:63-73.
29. Yang HM, Silveira ASB. The loss of immunity in directly transmitted infections modelling: Effects on the epidemiological parameters. Bull Math Biol 1998;60:355-72.
30. Yang HM, Coutinho FAB. Acquired immunity on a schistosomiasis transmission model - Analysis of the stabilizing effects. J Theor Biol 1999;196:473-82.
31. Yang HM, Fereira MU. Assessing the effects of global warming and local social and economic conditions on the malaria transmission. Rev Saúde Pública 2000;34:214-22.