Published December 15, 2022 | Version v1
Journal article Open

Modelling Cyclic Fluctuations of SEIR Epidemic Diseases

  • 1. Assistant lecturer at IPRC-KIGALI, department of General Courses.
  • 2. Assistant Lecturer at IPRC-KIGALI, Department of General courses.
  • 3. Assistant Lecture at IPRC-KIGALI, Integrated Polytechnic Regional College (IPRC-Kigali)

Description

ABSTRACT: Seasonality of infectious disease is an important factor in disease incidence, outbreaks, control and prevention. Many mathematical models that incorporate seasonality in the transmission were formulated and analyzed. In this essay a qualitative analysis is given in terms of the effective reproduction number R0, the existence and stability of the disease-free equilibrium and endemic equilibrium of both the SEIR model and seasonal SEIR model. We perform numerical simulations  to validate the model formulation.

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