5 problems

Let the predator-prey model described in the paper be given, with its parameters and equilibria as defined there. Cyclical-fold conjecture. There exist parameter regimes under whic…

Let the predator-prey model described in the paper be given, with its interior equilibrium point and model parameters as defined there. Multiple-limit-cycle conjecture. There exist…

Geometric localization conjecture. Every coexistence equilibrium at which a Hopf or Bogdanov–Takens bifurcation occurs has prey coordinate in $(x_{\min},x_{\max})$, where…

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

Consider the general predator-pest model … where $x$ is the pest population, $y$ is the predator population, $\xi$ is the quantity of additional food, and $f$ is a pest-dependent f…