A mathematical model for dispersal of an annual plant population with a seed bank |
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| Institution: | 1. Departamento de Matemática – CCNE, Universidade Federal de Santa Maria, CEP 97105-900 Santa Maria, RS, Brazil;2. Bolsista de Iniciação Científica – FAPERGS (Process 011226), Brazil;1. Centre for Environmental Policy, Imperial College London, Silwood Park Campus, Ascot SL5 7PY, United Kingdom;2. East Malling Research, New Road, East Malling, Maidstone ME 19 6BJ, United Kingdom;1. Department of Mathematics, University of Texas at San Antonio, One UTSA Circle, San Antonio, TX 78249, USA;2. The Institute for Scientific Computing and Applied Mathematics, Indiana University, 831 East Third Street, Rawles Hall, Bloomington, IN 47405, USA;1. Departamento de Ciências Exatas e Tecnológicas, Universidade do Estado de Mato Grosso, Av. dos Ingás 3001, 78555000 Sinop, Brazil;2. Dipartimento di Matematica “Giuseppe Peano”, Università di Torino, via Carlo Alberto 10, 10123 Torino, Italy;3. Dipartimento di Scienze della Vita e Biologia dei Sistemi, Università di Torino, via Accademia Albertina 13, 10123 Torino, Italy;4. Departamento de Ciências Exatas e da Terra, Universidade Federal de Mato Grosso, Av. Fernando Corrêa, 78060900 Cuiabá, Brazil;1. Department of Evolutionary Studies of Biosystems, School of Advanced Sciences, The Graduate University for Advanced Studies, Shonan Village, Hayama, Kanagawa 240-0193, Japan;2. Theoretical Biology and Bioinformatics, Department of Biology, Utrecht University, The Netherlands |
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| Abstract: | In order to describe the spatial dispersion of a population of annual plants with a seed bank, we have formulated a delay integrodifference equation model. The plant population growth is considered as being dependent on the density of seedlings that spring from seeds of the two previous years. We have analyzed the effects of the seed bank on the total population size, on the population spatial distribution as well as on the population velocity of invasion. It is showed that the seed bank can significantly alter the dynamics of annual plants, since it can have both a stabilizing and a destabilizing effect on the total population and can also homogenize the spatial distribution of the plants. |
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