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Relationship between addicts with incurable diseases in an epidemic model
Author(s) -
Pourhosseini Malek,
Memarbashi Reza
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7011
Subject(s) - mathematics , basic reproduction number , epidemic model , stability (learning theory) , reproduction , isolation (microbiology) , bifurcation , strain (injury) , competition (biology) , outbreak , mathematical economics , biology , virology , medicine , ecology , microbiology and biotechnology , computer science , nonlinear system , environmental health , population , physics , anatomy , quantum mechanics , machine learning
In the paper, the authors put two drug strains under various levels of competition and establish that cross‐immunity and host isolation lead to periodic epidemic outbreaks in the multistrain system. For the model, by the reproduction number of strain one,R 1 , and the reproduction number of strain two,R 2 , they show local and global stability and backward bifurcation under suitable conditions.