Nonautonomous SEIRS Epidemic Model with Vaccination and Nonlinear Incidence

Long Zhang from Xinjiang University presents a mathematical model for disease spread. The paper investigates a class of nonautonomous SEIRS epidemic models incorporating vaccination and nonlinear incidence rates. It establishes integral threshold values for disease extinction and permanence, with numerical examples provided to illustrate the analytic results.

Use Cases

• Simulating disease dynamics based on the described SEIRS model structure.
• Analyzing the impact of vaccination strategies on disease extinction and permanence.
• Testing threshold criteria for disease control in autonomous, periodic, or almost periodic scenarios.
• Validating theoretical epidemic model results with numerical simulations.

Strengths

• The model includes vaccination and nonlinear incidence, which are features mentioned in the description.
• The paper establishes specific threshold values (R1, R1*, R2, R2*) for analyzing disease outcomes.

Limitations

• Row count is unknown, which may limit suitability assessment.
• Column-level documentation is absent; field semantics must be inferred from the paper.
• Last update date is unknown; freshness unverified.

Provenance

Source

Xinjiang University

Collection Method

Mathematical modeling and numerical simulation, as described in the academic paper.