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- Title
Invasion waves in the presence of a mutualist.
- Authors
Hrynkiv, Volodymyr; Koshkin, Sergiy
- Abstract
This paper studies invasion waves in the diffusive competitor-competitor-mutualist model generalizing the two-species Lotka-Volterra model studied by Weinberger et al. The mutualist may benefit the invading or the resident species producing two different types of invasions. Sufficient conditions for linear determinacy are derived in both cases, and when they hold, explicit formulas for linear spreading speeds of the invasions are obtained by linearizing the model. While in the first case the linear speed is increased by the mutualist, it is unaffected in the second case. Mathematical methods are based on converting the model into a cooperative reaction-diffusion system. Copyright © 2013 John Wiley & Sons, Ltd.
- Subjects
LOTKA-Volterra equations; NUMERICAL solutions to difference equations; NUMERICAL analysis; MATHEMATICAL formulas; MATHEMATICAL models of diffusion
- Publication
Mathematical Methods in the Applied Sciences, 2014, Vol 37, Issue 15, p2185
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.2964