5 problems
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Jiang–Lam–Lou conjecture on drift-rate selection
Consider the two-species competition patch model with equal drift rates , and let and denote the two semi-trivial equil…
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Jiang–Lam–Lou conjecture on dispersal selection in non-divergence-free river networks
Let be the number of patches, let be the drift pattern, and consider the two-species competition patch model in a Y-shaped river network. The drift pattern is not di…
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The near-classical global-stability conjecture for weak competition
Consider the reaction-diffusion competition model given by equations --. Let be the set of diffusion pairs for which is stable, and let…
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The global-stability conjecture for weak competition with finite-time extinction
Consider the reaction-diffusion competition model given by equations --. Let be the set of diffusion pairs for which is stable, and let…
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The critical-parameter conjecture for weak competition equilibria
Consider the competition model given by equations, with , and assume … The competitors coexist. Critical-window conjecture. There is a critical window…