SEIR-SEI Malaria Transmission Model with Stability Analysis and VIM Solution

A 7-dimensional nonlinear ordinary differential equation model for malaria transmission, analyzed using He's Variational Iteration Method. The model's basic reproduction number, equilibrium points, and stability are examined, with solutions compared against a Runge-Kutta-Fehlberg method. The work was authored by Kingsley Akinfe of Tai Solarin University of Education.

Use Cases

• Stability analysis of disease-free and endemic equilibrium points based on the basic reproduction number.
• Comparing numerical solution methods for epidemiological models based on the described Variational Iteration Method.
• Modeling vector-host disease dynamics based on the SEIR-SEI compartmental structure.

Strengths

• Model is built on a 7-dimensional system of nonlinear ordinary differential equations.
• Analysis includes computation of the basic reproduction number and verification of equilibrium points.
• Solution method is compared against a standard numerical solver (RKF-45).

Limitations

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

Provenance

Source

Kingsley Akinfe, Tai Solarin University of Education

Collection Method

Mathematical modeling and analysis described in an academic paper.

Time Range

unknown

Freshness

unknown

Geography

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