4 problems

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The unique convergence-stable diffusion-rate conjecture
Unique convergence-stable diffusion-rate conjecture. For each advection rate
Conjectureopenadaptive-dynamics dispersal-evolution patchy-environmentsarXiv posted 2 days ago
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The advection-dependent optimal-dispersal conjecture for hostile boundaries
Advection-dependent optimal-dispersal conjecture. When $d_1$ is small, the sign of
Conjectureopenadvection dispersal-evolution patchy-environmentsarXiv posted 2 days ago
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The no-stable-coexistence conjecture for free-flow patchy environments
No-stable-coexistence conjecture. For case (a), one always has
Conjectureopendispersal-evolution patchy-environments reaction-diffusionarXiv posted 2 days ago
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Convergence to positive steady states in high-reproduction-number regions
Consider a disease transmission model in a patchy environment with travel between regions, and let $\mathcal{R}_H^i$ denote the reproduction number in region $i$ . Positive-steady-s…
Conjecturesolveddynamical-systems epidemic-models patchy-environmentsarXiv posted 2 days ago

The unique convergence-stable diffusion-rate conjecture