2 problems

Global-infimum conjecture. For each fixed $N\geq4$ and $n\geq2$, the right-hand side of the displayed formula is a global infimum of all positive values of $(b/c)^*$ over all migra…

Let $N=N_1+N_2$ be the total population size, let $D=|N_1-N_2|$ be the difference in island sizes, and let $(b/c)^*$ denote the critical benefit-to-cost ratio for two islands with…