Dynamic modeling of a vector-borne disease, from an individual to a metapopulation perspective. Application to plague in central Asia

Vincent Laperrière (1)

1 ESPACE - Études des Structures, des Processus d’Adaptation et des Changements de l’Espace

Bubonic plague, a zoonotic infection that circulates in wild rodents but is transmissible from them to humans through the bites of infected fleas, is not merely of historical interest. It is widespread in the world today and a continuing threat (Stenseth et al. (2008). In the Pre-Balkhash autonomous focus (Kazakhstan, central Asia), the great gerbil Rhombomys opimus is the main reservoir host (Gage and Kosoy, 1995). Davis et al. (2004, 2007) proposed that the family-oriented population structure of the great gerbil and its associated ectoparasite fleas of genus Xenopsylla, along with their seasonally constrained weather-dependent dynamics, is a key factor that determines plague epizootics and plague long-term persistence in rodents in this focus. Yet, the question of the geographical level of plague endemicity, i.e. whether plague can persist in a local autonomous " micro-focus " of minimum size to be determined, or necessarily operates at a larger level, remains poorly understood (Schmid et al., 2012). A knowledge-driven dynamic modeling framework is developed to help answering this question. A spatially explicit agent-based model is first developed, based upon finely described individual processes and interactions rules in the host-vector parasitoid system, derived from literature. From individual-based simulations, we compute population parameters that are used in a second ODE-based model, representing a specified metapopulation structure of burrow systems, each of one inhabited by family groups of great gerbils and their ectoparasites. The individual-based model integrates the seasonality of fleas and great gerbils’ reproduction and daily foraging activity, whereas the second captures the permanent dispersal movement of juvenile great gerbils to form new family groups, through which plague propagates.

Mots clés: Plague epidemics; Kazakhstan; Differential Equations; Agent Based Model; Modeling & Simulation

Domaines: Géographie; Médecine vétérinaire et santé animale; Santé publique et épidémiologie; Systèmes dynamiques [math.DS]; Modélisation et simulation; Système multi-agents [cs.MA]

Vincent Laperrière. Dynamic modeling of a vector-borne disease, from an individual to a metapopulation perspective. Application to plague in central Asia. European Colloquium of Theoretical and Quantitative Geography, Sep 2013, Dourdan, France. ⟨hal-01137518⟩