2005
DOI: 10.1016/j.bulm.2004.08.003
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The role of seasonality in the dynamics of deer tick populations

Abstract: In this paper, we formulate a nonlinear system of difference equations that models the three-stage life cycle of the deer tick over four seasons. We study the effect of seasonality on the stability and oscillatory behavior of the tick population by comparing analytically the seasonal model with a non-seasonal one. The analysis of the models reveals the existence of two equilibrium points. We discuss the necessary and sufficient conditions for local asymptotic stability of the equilibria and analyze the bounded… Show more

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Cited by 12 publications
(6 citation statements)
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“…Thus, the densities of larval ticks at our study sites in August should correlate strongly with the density of deer at these same sites in the previous spring. The importance of seasonality in determining the spatial distribution and abundance of ticks is well supported by both mathematical theory (Awerbuch-Friedlander et al, 2005) and empirical examples (Manelli et al, 1994). Many factors may influence seasonal and annual changes in habitat use by white-tailed deer, including shifting foraging opportunities and habitat requirements (Cote et al, 2004).…”
Section: Discussionmentioning
confidence: 99%
“…Thus, the densities of larval ticks at our study sites in August should correlate strongly with the density of deer at these same sites in the previous spring. The importance of seasonality in determining the spatial distribution and abundance of ticks is well supported by both mathematical theory (Awerbuch-Friedlander et al, 2005) and empirical examples (Manelli et al, 1994). Many factors may influence seasonal and annual changes in habitat use by white-tailed deer, including shifting foraging opportunities and habitat requirements (Cote et al, 2004).…”
Section: Discussionmentioning
confidence: 99%
“…Climate effect on tick population growth was also investigated in ( Awerbuch-Friedlander et al., 2005 , Ghosh and Pugliese, 2004 , Randolph, 1999 ). In particular, a simple semi-discrete (ticks feeding is assumed to occur only during the summers of each year) model for tick population dynamics was presented in ( Ghosh & Pugliese, 2004 ).…”
Section: Stage Structure and Seasonality Of Tick Population Growthmentioning
confidence: 99%
“…Among many factors for the Lyme risk 17 are host diversity 21,13,14,20 , stage structure of ticks 6,19,18,15,14,12,2,26 and climate effects 18,15,14,7,1 . Modelling disease transmission incorporating multiple life stages, tick seasonality and host community composition is crucial to understanding the pathogen transmission.…”
Section: Introductionmentioning
confidence: 99%