3 problems

There exist a time $T>0$ and smooth functions … with smooth initial data … for smooth $f_1,f_2,f_3$ and a smooth even angular profile $\phi(\theta)$ adapted to…

Finite-time predator blow-up conjecture. For the delayed system, the predator population explodes to infinity in finite time.

Let $w$ solve the equation denoted by … lambda=1,quad 0<muleq 2,qquadtext{or}qquad lambda1,quad mu0. … will blow up in finite time for a family of smooth initial data…