Differential equations and network processes
- Epidemic and information propagation on networks.
- Adaptive network processes.
- Control of network processes.

Reaction-diffusion equations
- Semilinear elliptic partial differential equations, bifurcations of the solutions.
- Bifurcations of traveling wave solutions.
- Chemical waves.

- Steady states and periodic orbits of dynamical models in chemistry and biology.
- Parametric representation method.