MathDB4 problems
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Conjecture on sharp upper bounds for predator spreading speeds
In the predator-prey system, let denote the habitat shift speed and let the predators' initial decay condition be as specified in the preceding spreading-speed analysis. Assu…
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Existence conjecture for bistable traveling waves under condition (A2)
Existence conjecture. Condition (A2) can guarantee the existence of a bistable traveling wave solution.
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Global stability conjecture for locally stable steady states in competition models
Consider the nonlocal competition model described above, with two population densities and a locally stable steady state. Global stability conjecture. The locally stable steady sta…
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The conjecture that slower diffusion need not be selected for in time-periodic nonlocal competition systems
Consider two-species Volterra–Lotka competition systems with nonlocal dispersal in a time-periodic and spatially inhomogeneous medium. The species with slower diffusion is said to…