Chalmers Conferences, 9th European Conference on Mathematical and Theoretical Biology

Impact of extended diapause on the rate of invasion of a population of triatomine with an Allee effect
Amel Bessenouci Hakem

Last modified: 2014-04-08


Prolonged diapause is a major feature in the evolution of life history of insects. It has been shown in previous work, a population which a fraction realizes prolonged diapause maximizes its growth rate when the environment is variable (Menu et al., 2000). If, in addition, adverse environments are quite common and the population is in the process of biological invasion then its invasive success is maximized when 10% to 20% of individuals carry an extended diapause (Menu Mahdjoub and 2008).

This proliferative phase is preceded by a phase of colonization (during which the species adapts to its new habitat) where the population is characterized by low density and may be Allee effect. Studies on the speed of invasion of populations with Allee effect have been proposed by Wang et al. (Kot and Wang, 2001;. Wang et al, 2002) but did not integrated extended diapause or stochasticity of the environment.

The biological model considered is the case of triatomine vectors of Chagas disease. Despite control programs implemented in Latin America, it was found re-emergence of the disease. The contribution of mathematical modeling is needed to better understand these phenomena of reinfestation of controlled populations and which may be presented Allee effect.

Our goal is to study, by numerical simulations, the impact of extended diapause on the rate of invasion of a population of triatomines in to a stochastic environment and having an Allee effect, either upon or after proliferation was controlled using the integro-difference equations (EID).



Allee effect; extended diapause; integro-difference equations.