Abstract
We study the long-time behavior of the solutions of the partly dissipative reaction diffusion systems of the FitzHugh–Nagumo type with exponential growth nonlinearity. More precisely, we prove the existence of weak solutions, the regularity of the global attractor and the exponential stability of stationary solutions of the systems.
Acknowledgements
The authors wish to thank the referee for his/her useful comments.
Disclosure statement
No potential conflict of interest was reported by the authors.