Role of time scale in the spreading of asymmetrically interacting diseases

Autor(es)

Ventura, Paulo Cesar ^[1] ; Moreno, Yamir ^{[2, 3, 4]} ; Rodrigues, Francisco A. ^[5]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Fis Sao Carlos, BR-13566590 Sao Carlos, SP - Brazil

^[2] Univ Zaragoza, Inst Biocomputat & Phys Complex Syst BIFI, Zaragoza 50018 - Spain

^[3] Univ Zaragoza, Dept Theoret Phys, Zaragoza 50018 - Spain

^[4] ISI Fdn, Via Chisola 5, I-10126 Turin - Italy

^[5] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13566590 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: PHYSICAL REVIEW RESEARCH; v. 3, n. 1 FEB 12 2021.
• Citações Web of Science: 0

Resumo

Diseases and other contagion phenomena in nature and society can interact asymmetrically, such that one can benefit from the other, which in turn impairs the first, in analogy with predator-prey systems. Here, we consider two models for interacting diseaselike dynamics with asymmetric interactions and different associated time scales. Using rate equations for homogeneously mixed populations, we show that the stationary prevalences and phase diagrams of each model behave differently with respect to variations of the relative time scales. We also characterize in detail the regime where transient oscillations are observed, a pattern that is inherent to asymmetrical interactions but often ignored in the literature. Our results contribute to a better understanding of disease dynamics in particular, and interacting processes in general, and could provide interesting insights for real-world applications. (AU)

• Processo FAPESP: 16/24555-0 - Propagação de informação em redes multicamadas
• Beneficiário: Paulo Cesar Ventura da Silva
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
• Beneficiário: Francisco Louzada Neto
• Modalidade de apoio: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs
• Processo FAPESP: 19/11183-5 - Dinâmica simples e acoplada em populações multiplex
• Beneficiário: Paulo Cesar Ventura da Silva
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Doutorado
• Processo FAPESP: 19/23293-0 - Predição e inferência em sistemas complexos
• Beneficiário: Francisco Aparecido Rodrigues
• Modalidade de apoio: Auxílio à Pesquisa - Regular