3 problems

Let $r(\mu)$ denote the low-density consumer growth rate as a function of the reproductive delay $\tau$. Suppose there are two critical values $0<\tau_*\leq\tau^*$ such that…

Consider the two-species Markov chain … is almost surely persistent. Mutual invasibility is known to imply persistence in probability under the monotonicity assumptions; the conjec…

Non-persistence conjecture. If the opposite inequality to the persistence condition holds, namely $I(m)\leq 0$, then persistence does not occur.