A fractional order model for obesity epidemic in a non-constant population

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DEMİRCİ E.

ADVANCES IN DIFFERENCE EQUATIONS, cilt.2017, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2017
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1186/s13662-017-1135-0
  • Dergi Adı: ADVANCES IN DIFFERENCE EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: fractional differential equations, epidemic model, stability analysis, obesity, CHAOS SYNCHRONIZATION
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we propose a fractional order epidemic model for obesity contagion. The population size is assumed to be nonconstant, which is more realistic. The model considers vertical transmission of obesity and also obesity-related death rate. We give local stability analysis of the model. Finally, some numerical examples are presented.