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Dynamic Coexistence of Sexual and Asexual Invasion Fronts in a System of Integro-Difference Equations

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Abstract

The role of long-range dispersal in the coexistence of sexual and asexual relatives in a population of hermaphrodite flowering plants is investigated. In these populations, growth and reproduction often occur during a sedentary stage that is then followed by dispersal of propagules. These two stages are clearly distinguishable and show strong seasonality. A modeling approach that accurately describes this kind of dynamics of mixed populations is a system of two nonlinear integro-difference equations. It is shown that this kind of model can accommodate coexistence of the two different reproductive types.

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Authors and Affiliations

  1. School of Technology, Oxford Brookes University, Wheatley Campus, Wheatley, Oxford, OX33 1HX, UK

    Claudia Carrillo

  2. School of Mathematics, Cardiff University, Senghennydd Road, Cardiff, CF24 4AG, UK

    Kirill Cherednichenko

  3. Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK

    Nicholas Britton

  4. Department of Biology and Biochemistry, University of Bath, Bath, BA2 7AY, UK

    Michael Mogie

Authors
  1. Claudia Carrillo
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  2. Kirill Cherednichenko
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  3. Nicholas Britton
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  4. Michael Mogie
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Correspondence to Claudia Carrillo.

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Carrillo, C., Cherednichenko, K., Britton, N. et al. Dynamic Coexistence of Sexual and Asexual Invasion Fronts in a System of Integro-Difference Equations. Bull. Math. Biol. 71, 1612–1625 (2009). https://doi.org/10.1007/s11538-009-9416-8

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  • DOI: https://doi.org/10.1007/s11538-009-9416-8

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