ArticleJournal of mathematical biology2013
A construction method to study the role of incidence in the adaptive dynamics of pathogens with direct and environmental transmission.
Article in Journal of mathematical biology, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- Adaptive dynamics of saturated polymorphisms.Journal of mathematical biology · 2016Article
- Rapid evolution of virulence leading to host extinction under host-parasite coevolution.BMC evolutionary biology · 2015Article
- Construction of multiple trade-offs to obtain arbitrary singularities of adaptive dynamics.Journal of mathematical biology · 2015Article
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Authors and funding
2 authors.
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Abstract
We study the adaptive dynamics of virulence of a pathogen transmitted both via direct contacts between hosts and via free pathogens that survive in the environment. The model is very flexible with a number of trade-off functions linking virulence to other pathogen-related parameters and with two incidence functions that describe the contact rates between hosts and between a host and free pathogens. Instead of making a priori particular assumptions about the shapes of these functions, we introduce a construction method to create specific pairs of incidence functions such that the model becomes an optimization model. Unfolding the optimization model leads to coexistence of pathogen strains and evolutionary branching of virulence. The construction method is applicable to a wide range of eco-evolutionary models.
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