7 problems

Reproduction-function proof conjecture. A unified proof for the correspondence between the competitive exclusion principle (CEP) and the LCP, which has only been established in par…

Regular-splitting definition. The existence of a regular splitting for the $x$-$y$ partition induced by the DFE could be taken as a definition of a multistrain epidemic (ME) model.

Experimental observability conjecture. Long time delays arising with parameter values close to those at which these degenerate NHIMs are found could be observed in real experiments…

Let $S(t,x)$, $I(t,x)$, and $R(t,x)$ denote the susceptible, infected, and recovered population densities in the heterogeneous SIRS model, and let $\lambda$ and $\Lambda_0$ be the…

Jacobian factorization conjecture. If all the factors $F_i$ are Descartes polynomials, then

Let System … admits at least one endemic equilibrium when $\mathcal{R}_0>1$. This conjecture is motivated by extensive numerical simulations; the stated existence result is not est…

Let $\tau$ denote the duration of immunity after natural infection, and consider the delayed SIRS system … with immune system boosting. Large-delay approximation conjecture. When t…