4 problems

Let $\kappa>0$ and define … For the tumour-invasion travelling waves connecting $(1,0)$ to $(0,\bar{\mathcal{M}})$, let $c^*_{\kappa}(\bar{\mathcal{M}})$ denote the minimal wave sp…

Fix $\kappa>0$ and define … Let $\bar{m}\in(0,m^*(\kappa)]$ and $c\geq2\sqrt{1-\bar{m}}$. For the travelling-wave system in the source, let $\alpha_0(c)$ and $\alpha_1(c)$ be the s…

Let $\kappa>0$, $\bar{m}\in(0,1)$, and define … For the function … where $M(n)$ is the ECM component expressed as a function of tumour density $n$, Fisher–KPP concavity conjecture.…

Let $c^*_\kappa(\bar{\mathcal{M}})$ denote the minimal wave speed for the travelling waves considered in the model, let $\kappa$ be the ECM degradation rate by tumour cells, and le…