Helminth Infections of Humans: Mathematical Models, Population Dynamics, and Control

https://doi.org/10.1016/S0065-308X(08)60561-8Get rights and content

Publisher Summary

This chapter reviews the role of mathematical models in the investigations of the population or transmission dynamics of human helminths. It focuses on the biological assumptions employed in model construction, the insights that emerge from model analysis, the comparison of predictions with observed trends, and the estimation of parameter values from epidemiological data. The chapter provides a brief description of observed epidemiological patterns, concentrating on age-prevalence and age-intensity trends and a historical review of the development of the mathematical models of helminth infections. The chapter also discusses mathematical models for schistosome flukes, for intestinal nematodes, and for the filarial infections and the essential features of the models for specific infections to provide a general framework for the description of helminth transmission dynamics. The general framework is presented to consider the design of control policies for helminth infections in human communities.

References (159)

  • B. Kirkwood et al.

    Variations in the prevalence and intensity of microfilarial infections by age, sex, place and time in the area of the onchocerciasis control programme.

    Transactions of the Royal Society of Tropical Medicine and Hygiene

    (1983)
  • B. Kirkwood et al.

    Relationships between mortality, visual acuity and microfilarial load in the area of the onchocerciasis control programme.

    Transactions of the Royal Society of Tropical Medicine and Hygiene

    (1983)
  • M.K. Leyton

    Stochastic models in populations of helminthic parasites in the definitive Host. II. Sexual mating functions.

    Mathematical Biosciences

    (1968)
  • G. Macdonald

    The dynamics of helminth infections, with special reference to schistosomes.

    Transactions of the Royal Society of Tropical Medicine and Hygiene

    (1965)
  • E. Abdel-Salam et al.

    Prevalence and morbidity of Schistosoma haematobium in Egyptian children. A controlled study.

    American Journal of Tropical Medicine and Hygiene.

    (1977)
  • R.M. Anderson

    Mathematical models of host-helminth parasite interactions.

  • R.M. Anderson

    Population dynamics of snail infection by miracidia.

    Parasitology

    (1978)
  • R.M. Anderson

    The dynamics and control of direct life cycle helminth parasites.

    Lecture Notes in Biomathematics

    (1980)
  • R.M. Anderson

    Population Dynamics of Infectious Diseases: Theory and Applications.

    (1982)
  • R.M. Anderson

    Epidemiology.

  • R.M. Anderson et al.

    Experimental studies of age prevalence curves for Schistosoma mansoni infections in populations of Biomphalaria glabrata.

    Parasitology

    (1984)
  • R.M. Anderson et al.

    Processes influencing the distribution of parasite numbers within host populations with special emphasis on parasite-induced host mortalities.

    Parasitology

    (1982)
  • R.M. Anderson et al.

    Regulation and stability of host-parasite populations interactions. I. Regulatory processes.

    Journal of Animal Ecology

    (1978)
  • R.M. Anderson et al.

    Prevalence of schistosome infections within molluscan populations: Observed patterns and theoretical predictions.

    Parasitology

    (1979)
  • R.M. Anderson et al.

    Population biology of infectious diseases: Part I.

    Nature (London)

    (1979)
  • R.M. Anderson et al.

    Population dynamics of human helminth infections: Control by chemotherapy.

    Nature (London)

    (1982)
  • R.M. Anderson et al.

    Directly transmitted infectious diseases: Control by vaccination.

    Science

    (1982)
  • R.M. Anderson et al.

    Vaccination against rubella and measles: Quantitative investigations of different policies.

    Journal of Hygiene

    (1983)
  • R.M. Anderson et al.

    Transmission of Schistosoma mansoni from man to snail: Experimental studies of miracidial survival and infectivity in relation to larval age, water temperature, host size and host age.

    Parasitology

    (1982)
  • D.L. Augustine

    Investigations on the control of hookworm disease. XVI. Variation in length of life of hookworm larvae from the stools of different individuals.

    American Journal of Hygiene

    (1923)
  • D.L. Augustine

    Investigations on the control of hookworm disease. XXIII. Experiments on the factors determining the length of life of infective hookworm larvae.

    American Journal of Hygiene

    (1923)
  • D.L. Augustine

    Studies and observations on soil infestation with hookworm in southern Alabama from October 1923-September 1924.

    The American Journal of Hygiene (Suppl.)

    (1926)
  • N.T.J. Bailey

    The Mathematical Theory of Infectious Diseases and Its Applications,

    (1975)
  • A.D. Barbour

    Schistosomiasis.

  • M.S. Bartlett

    Stochastic Population Models in Ecology and Epidemiology.

    (1960)
  • C.A. Bliss et al.

    Fitting the negative binomial distribution to biological data and a note on the efficient fitting of the negative binomial.

    Biometrics

    (1953)
  • W.F. Bodmer

    The HLA system and diseases.

    Journal of the Royal College of Physicians

    (1980)
  • H. van den Bossche

    Chemotherapy of parasitic infections.

    Nature (London)

    (1978)
  • R.D. Botero

    Epidemiology and public health importance of intestinal nematode infections in Latin America.

  • D.A.P. Bundy et al.

    Paediatric trichuriasis in urban Jamaica.

    Parasites—their world and ours.

    (1982)
  • B.D. Cabera et al.

    Ascariasis control and/or eradication in a rural community in the Philippines.

    Southeast Asian Journal of Tropical Medicine and Public Health

    (1975)
  • J.-Y. Chai et al.

    Frequency distribution of Enterobius vermicularis in a highly endemic population.

    Korean Journal of Parasitology

    (1976)
  • A.C. Chandler

    The rate of loss of hook worms in the absence of re-infections.

    Indian Journal of Medical Research

    (1925)
  • A.C. Chandler

    The prevalence and epidemiology of hookworm and other helminthic infections in India. Part XI: Madras residency and southern states.

    Indian Journal of Medical Research

    (1927)
  • A.W. Cheever

    A quantitative post-mortem study of Schistosomiasis mansoni in man.

    American Journal of Tropical Medicine and Hygiene

    (1968)
  • A.W. Cheever et al.

    Schistosoma mansoni and S. haematobium infections in Egypt. II. Quantitative parasitological findings at necropsy.

    American Journal of Tropical Medicine and Hygiene

    (1977)
  • R.A. Cheke et al.

    The fecundity of Simulium damnosum s. l. in northern Togo and infections with Onchocerca spp.

    Annals of Tropical Medicine and Parasitology

    (1982)
  • A.B. Chowdhury et al.

    A survey of parasitic infections in a rural community near Calcutta.

    American Journal of Epidemiology

    (1968)
  • K.Y. Chu et al.

    Host-parasite relationship of Bulinus truncatus and Schistosoma haematobium in Iran. 3. Effect of water temperature on the ability of miracidia to infect snails.

    Bulletin of the World Health Organisation

    (1966)
  • J.E. Cohen

    Selective host mortality in a catalytic model applied to schistosomiasis.

    American Naturalist

    (1973)
  • Cited by (487)

    View all citing articles on Scopus
    View full text