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

Nabahats Dib-Baghdadli | Zendy; Rabah Labbas | Zendy; Tewfik Mahdjoub | Zendy; Ahmed Medeghri | Zendy

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

Author(s) -

Nabahats Dib-Baghdadli,

Rabah Labbas,

Tewfik Mahdjoub,

Ahmed Medeghri

Publication year - 2020

Publication title -

discrete and continuous dynamical systems - b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.864

H-Index - 53

eISSN - 1553-524X

pISSN - 1531-3492

DOI - 10.3934/dcdsb.2021004

Subject(s) - biological dispersal , triatominae , chagas disease , set (abstract data type) , space (punctuation) , mathematics , cauchy distribution , diffusion , semigroup , work (physics) , operator (biology) , reaction–diffusion system , pure mathematics , physics , mathematical analysis , ecology , biology , computer science , reduviidae , thermodynamics , virology , population , sociology , operating system , programming language , demography , heteroptera , repressor , biochemistry , transcription factor , gene

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.

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