An Eco-epidemiological System with Infected Predator
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Date
2010
Journal Title
Journal ISSN
Volume Title
Publisher
IEEE (http://ieeexplore.ieee.org/)
Abstract
Epidemic is considered as one of the primary causes of
species extinction, especially it also can induce populations
suffering from Allee effect. Using ordinary differential equation
and lattice model, we here explored the epidemic transmission in
a predator-prey system. Numerical simulation indicated that the
Allee effect can both destabilize and stabilize the system: a
moderate Allee effect will destabilize the dynamics, but it is not
true for the extreme Allee effect (weak or strong). Moreover, we
have pointed out that the infection rate was key to determine the
temporal transmission of disease. Through the join-count
statistics method, results showed that the spatial structure of
disease is influenced dramatically by the Allee effect and
ecological neighborhood. These results are new to ecoepidemiology
and imply a possibility of restricting disease
diffusion range to control the spread of epidemics in the
ecological system.
Description
Keywords
eco-epidemiology, lattice model, Allee effect, local stability, Join-count statistics
Citation
Su, M. & Hui, C. (2010) An eco-epidemiological system with infected predator. 3rd International Conference on Biomedical Engineering and Informatics (BMEI 2010), pp. 2390-2393.