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August 13, 2026AxiomsOpen Access

SIR Model with Dependent Infectivity and Death Rates

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Implication

Randomized trial evaluates a new SIR model, analyzing outcomes in disease spread dynamics, indicating evolving parameters.

Key Points

  • This work aims to develop a new SIR epidemiological model that incorporates time-varying infectivity and death rates.
  • Constructed a general SIR-ID model through a system of five coupled differential equations.
  • Conducted bifurcation and sensitivity analyses to investigate equilibria stability.
  • Performed computer simulations to demonstrate dynamic behavior under stable disease-free and endemic conditions.
  • Demonstrated the existence, positivity, and boundedness of the model solutions.
  • Identified stable attracting points for both disease-free and endemic equilibria.
  • Simulations illustrated system behavior as it approaches steady states.

Cite This Study

A 2026 study studied this question.

synapsesocial.com/papers/6a7d75e62b0e0cff3f63ec9bhttps://doi.org/10.3390/axioms15080603
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  3. 3On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations.1990 · 5,324 citations