Some "counterintuitive" results in two species competition

Abstract

We investigate the classical two species ODE and PDE Lotka-Volterra competition models, where one of the competitors could potentially go extinct in finite time. We show that in this setting, classical theories and intuitions do not hold, and various counter intuitive dynamics are possible. In particular, the weaker competitor could avoid competitive exclusion, and the slower diffuser may not win. Numerical simulations are performed to verify our analytical findings.

arXiv comment21 pages, 27 figures

References in corpus (4)

• Optimal location of resources maximizing the total population size in logistic models
• Global stability of nonhomogeneous equilibrium solution for the diffusive Lotka-Volterra competition model
• Dynamics of a predator-prey model with generalized Holling type functional response and mutual interference
• A Comparison of the Trojan Y Chromosome Strategy to Harvesting Models for Eradication of Non-Native Species

Cited by in corpus (3)

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