3 papers
math.AP2026
Short-wave signal versus indirect prey-taxis
Andrey Morgulis, Karrar Malal
We address a short-wave asymptotic for one class of quasi-linear second-order PDE systems involving the cross-diffusion described by the so-called Patlak-Keller-Segel law. It is co…
math.AP2025
Prey-taxis VS a Shortwave External Signal in Multiple Dimensions
Andrey Morgulis, Karrar Malal
We consider a model of the predator--prey community with prey-taxis. By that we mean the capability of the predators to get moving in a certain direction on the macroscopic level i…
q-bio.PE2024
Prey-taxis vs an external signal: short-wave asymptotic and stability analysis
Andrey Morgulis, Karrar Malal
We consider two models of predator-prey community with prey-taxis, one relies on Patlak-Keller-Segel law (Lee et al, 2009), the other one employs the Cattaneo model of heat transfe…