SIS Epidemic Model Analysis with Saturated Incidence and Spontaneous Infection

A mathematical analysis of an SIS epidemic reaction-diffusion model. The research establishes the existence of an endemic equilibrium and investigates the effects of diffusion and saturation on its asymptotic profiles. The work by Zhang Jialiang of Harbin Normal University suggests spontaneous infection can enhance disease persistence.

Use Cases

• Analyzing endemic equilibrium stability based on reaction-diffusion model parameters.
• Studying the impact of diffusion rates on disease persistence profiles.
• Investigating the effect of saturated incidence rates on epidemic model outcomes.
• Modeling the influence of spontaneous infection on long-term disease dynamics.

Strengths

• Analysis is grounded in a fixed point theorem for establishing equilibrium existence.
• Explicitly models both saturated incidence rates and spontaneous infection mechanisms.
• Focuses on the asymptotic profiles of the endemic equilibrium, a key epidemiological concept.

Limitations

• Description metadata is limited; actual data quality requires manual inspection after download.
• Column-level documentation is absent; field semantics must be inferred after download.
• Row count and file formats are unknown, which may limit suitability assessment.

Provenance

Source

Harbin Normal University

Collection Method

Theoretical mathematical analysis and modeling.