Effect of seasonal host reproduction on host-macroparasite dynamics

The impact of seasonal host reproduction on the population dynamics of host-macroparasite interactions is considered. We modify the classic Anderson and May model so that parameters associated with host reproduction are periodic functions of time with a period corresponding to a year. This allows us...

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Bibliographic Details
Published inMathematical biosciences Vol. 137; no. 2; pp. 79 - 99
Main Authors White, K.A.J., Grenfell, B.T., Hendry, R.J., Lejeune, O., Murray, J.D.
Format Journal Article
LanguageEnglish
Published New York, NY Elsevier Inc 15.10.1996
Elsevier Science
Subjects
Animals
Biological and medical sciences
Computerized, statistical medical data processing and models in biomedicine
DINAMICA DE LA POBLACION
DYNAMIQUE DES POPULATIONS
ETAPAS DE DESARROLLO
Female
FERTILIDAD
FERTILITE
HELMINTHE
HELMINTOS
Host-Parasite Interactions
Male
Mathematics
Medical sciences
MODELE MATHEMATIQUE
MODELOS MATEMATICOS
Models and simulation
Models, Biological
PERIODICIDAD
PERIODICITE
Population Dynamics
RELACIONES HUESPED PARASITO
RELATION HOTE PARASITE
REPRODUCCION
REPRODUCTION
Seasons
STADE DE DEVELOPPEMENT
Biomedical data processing
Host parasite relation
Parameter estimation
Reproduction
Seasonal variation
Parasite
Numerical simulation
Population dynamics
Stability criterion
Mathematical model
Comparative study
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Summary:The impact of seasonal host reproduction on the population dynamics of host-macroparasite interactions is considered. We modify the classic Anderson and May model so that parameters associated with host reproduction are periodic functions of time with a period corresponding to a year. This allows us to compare our findings with those already well documented. If, in the absence of any seasonality, a stable steady-state solution exists annual reproduction gives rise to stable annual population cycles. Moreover, the parameter domain for which there is stability is increased by the seasonality. However, if the life span of the free-living stages is reasonably long, and the continuous model has limit cycle solutions, complex behavior can be observed in the seasonally forced case. Results also indicate that if seasonal effects are ignored, regulation of the hosts by the parasite population is overestimated.
Bibliography:9634709
L72
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ISSN:0025-5564
1879-3134
DOI:10.1016/S0025-5564(96)00061-2