Mathematical analysis of a generic reaction diffusion model applied in medical imaging

This paper provides the existence of a global solution to a generic reaction di¤usion system. We show the existence of a global weak solution to the considered system in the case of quasi- positivity and a triangular structure condition on the nonlinear- ities. Application examples of our results are presented on new models of biology.

• reaction diffusion systems
• mathematical biol-ogy model
• parabolic system
• global existence
• Schauder fixed point

• reaction-diffusion systems
• mathematical biol-ogy model
• parabolic system
• global existence
• Schauder fixed point