8 problems

Sublinear-threshold conjecture. For every $0<\varepsilon<1$,

Conjecture on Type I extinction. The same extinction result should hold for the unbounded Type I functional response as well, although proving it would require different techniques…

Extinction-speed conjecture. We conjecture that, under Spitzer's condition for Lévy processes, the above result remains valid under the less restrictive assumptions $\vartheta^+=1$…

Quasi-stationary extinction-event conjecture.

Generalized extinction conjecture. With a suitable modification of condition $$ , the conclusions of Theorem should hold for a general positive symmetric matrix ${\bf A}$.

Extinction-rate conjecture. The exponential extinction rates coincide, and

Let … is $\varphi$-irreducible over $\mathbf{S}\setminus\mathbf{S}_\eta$ for every $\eta>0$. Negative-invasion extinction conjecture. If $\lambda^*(\mu)<0$ for every invariant meas…

Extinction conjecture. Inverting the coexistence criterion implies an asymptotic approach to extinction with probability one.