The mathematical modelling of the processes in the natural multiplication of human lice (exemplified by the head louse population

Publication Type:Journal Article
Year of Publication:1991
Authors:B. V. Boev, Barabash, V. K., Tarasevich, I. V.
Journal:Meditsinskaia parazitologiia i parazitarnye bolezni
Volume:(3)
Issue:3
Pagination:50 - 52
Date Published:1991
ISBN Number:0025-8326
Keywords:animals, English Abstract, humans, Lice/physiology, Mathematics, Models, Biological, reproduction, Time Factors
Abstract:

Methods of mathematical modelling and prediction of louse propagation processes in the natural habitation medium are presented. Theoretical and experimental data on head louse ecology served the basis for the elaboration of a mathematical model predicting the population dynamics. The model structure corresponds to 3 stages of louse development cycle (eggs, larva, lice) and parameters corresponding to natural characteristics of louse propagation process: mean lifespan of each individual during each phase of the cycle, age, fertility and so forth. The model helped to study some properties of the population, assess maximum rate of head louse population growth, detect threshold effects, establish the effects of coefficients, limiting the number of louse per unit of the body surface. The model made it possible to formulate necessary data (distribution functions) for the creation of the mathematical model of Pediculosis.

Scratchpads developed and conceived by (alphabetical): Ed Baker, Katherine Bouton Alice Heaton Dimitris Koureas, Laurence Livermore, Dave Roberts, Simon Rycroft, Ben Scott, Vince Smith