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The effect of 'very fast' strategies on two species competition
- Publication Year :
- 2023
- Publisher :
- arXiv, 2023.
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Abstract
- We consider the effect of finite time extinction mechanisms (FTEM) such as (1) semi-linear harvesting terms, and (2) quasi-linear fast diffusion terms on two species Lokta-Volterra competition models. We show that these mechanisms can alter classical dynamics of competitive exclusion, and weak and strong competition by acting only on a \emph{small} portion of the weaker competitors' population, analogous to small defector populations in game theory \cite{DC23}. In particular, a stronger competitors population, with a few individuals dispersing (``defecting") very quickly, could exhibit bi-stability, as well as competitive exclusion \emph{reversal}. The non-linear harvesting is applied to aphid-soybean crop systems, wherein novel dynamics are observed. Applications to bio-control of invasive pests such as the soybean aphid are discussed.<br />Comment: 30 pages
- Subjects :
- FOS: Mathematics
Dynamical Systems (math.DS)
Mathematics - Dynamical Systems
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....87a92fda3ffef9ad97e231ae2a289ef5
- Full Text :
- https://doi.org/10.48550/arxiv.2305.19572