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Institut Sophia Agrobiotech

Institut Sophia Agrobiotech

Institut Sophia Agrobiotech

UMR INRA - Univ. Nice Sophia Antipolis - Cnrs
Inra PACA
400 route des chappes
BP 167
0690 Sophia Antipolis Cedex
FRANCE
Tel. : +33(0)4 92 38 64 00
Fax : + 33(0)4 92 38 64 01

http://www.paca.inra.fr/institut-sophia-agrobiotech

Bulletin of Mathematical Biology

19 avril 2017

Bulletin of Mathematical Biology
© 2017 Springer International Publishing AG.
Mate Limitation in Fungal Plant Parasites Can Lead to Cyclic Epidemics in Perennial Host Populations

Abstract

Fungal plant parasites represent a growing concern for biodiversity and food security. Most ascomycete species are capable of producing different types of infectious spores both asexually and sexually. Yet the contributions of both types of spores to epidemiological dynamics have still to been fully researched. Here we studied the effect of mate limitation in parasites which perform both sexual and asexual reproduction in the same host. Since mate limitation implies positive density dependence at low population density, we modeled the dynamics of such species with both density-dependent (sexual) and density-independent (asexual) transmission rates. A first simple SIR model incorporating these two types of transmission from the infected compartment, suggested that combining sexual and asexual spore production can generate persistently cyclic epidemics in a significant part of the parameter space. It was then confirmed that cyclic persistence could occur in realistic situations by parameterizing a more detailed model fitting the biology of the Black Sigatoka disease of banana, for which literature data are available. We discuss the implications of these results for research on and management of Sigatoka diseases of banana.

Keywords

Mixed mating system, Fungi, Epidemiology, Nonlinear transmission, Limit cycle, Competitive exclusion, Allee effect, Sexual reproduction, Asexual reproduction

Ravigné, V., Lemesle, V., Walter, A., Mailleret, L., and Hamelin, F.M. (2017). Mate Limitation in Fungal Plant Parasites Can Lead to Cyclic Epidemics in Perennial Host Populations. Bull Math Biol 79, 430–447. DOI: 10.1007/s11538-016-0240-7

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