Global Solutions near Homogeneous Steady States in a Multidimensional Population Model with Both Predator- and Prey-Taxis. - Mario Fuest (SIAM J. Math. Anal., 2020)

Global existence of classical solutions and numerical simulations of a cancer invasion model. - Mario Fuest; Shahin Heydari; Petr Knobloch; Johannes Lankeit; Thomas Wick (CoRR, 2022)

A cross-diffusion system modelling rivaling gangs: global existence of bounded solutions and FCT stabilization for numerical simulation. - Mario Fuest; Shahin Heydari (CoRR, 2023)

Corners and collapse: Some simple observations concerning critical masses and boundary blow-up in the fully parabolic Keller-Segel system. - Mario Fuest; Johannes Lankeit (Appl. Math. Lett., 2023)