5 problems

Conjectured SPDE solution formula. The SPDE has the unique solution

Uniqueness conjecture. The limiting system above has a unique positive and bounded solution on $\mathbb{R}$.

Convergence conjecture. Under these assumptions,

Let $n$ be the population-size scaling parameter, let $I_h^n(t)$ and $I_v^n(t)$ denote infected hosts and infected vectors, and let $\mathcal{R}_0$ be the basic reproduction number…

Let $n$ be the host population size, let $I_h^n(t)$ denote the number of infected hosts at time $t$, and let $\mathcal{R}_0$ be the basic reproduction number. When…