On some reaction-diffusion equations generated by non-domiciliated triatominae, vectors of Chagas disease

Nabahats Dib-Baghdadli (1) , Rabah Labbas (2) , Tewfik Mahdjoub (1) , Ahmed Medeghri (3)

1 LANLMA - Laboratoire d’Analyse Non Linéaire et Mathématiques Appliquées
2 LMAH - Laboratoire de Mathématiques Appliquées du Havre
3 LMPA - Laboratoire de Mathématiques Pures et Appliquées

In this work, we study some reaction-diffusion equations set in two habitats which model the spatial dispersal of the triatomines, vectors of Chagas disease. We prove in particular that the dispersal operator generates an analytic semigroup in an adequate space and we prove the local existence of the solution for the corresponding Cauchy problem.

Mots clés: sectorial operator; skew brownian motion; reaction-diffusion equations; dispersal process; Chagas disease

Domaines: Equations aux dérivées partielles [math.AP]; Santé publique et épidémiologie; Maladies infectieuses

Nabahats Dib-Baghdadli, Rabah Labbas, Tewfik Mahdjoub, Ahmed Medeghri. On some reaction-diffusion equations generated by non-domiciliated triatominae, vectors of Chagas disease. Discrete and Continuous Dynamical Systems - Series B, 2021, 26 (12), pp.6091. ⟨10.3934/dcdsb.2021004⟩. ⟨hal-03464006⟩