Mathematical Model and Analysis of Leptospirosis Transmission Dynamics in Human and Dog Populations.
International Journal of Development Mathematics (IJDM)·
- DOI
- 10.62054/ijdm/0303.24
- PMID
- —
- PMCID
- —
- OpenAlex
- —
- Study type
- Mathematical modelling
- Publisher
- Modibbo Adama University
- Article type
- journal-article
- Integrity
- current
Why this research matters now
The findings offer insights for public health policy in communities affected by leptospirosis, particularly regarding the need for integrated interventions targeting environmental conditions and infection treatment across species.
Structured evidence summary
Research question
The study aimed to model transmission dynamics of leptospirosis between human and dog populations and to identify key parameters influencing disease spread.
Study design
Mathematical modeling study using next-generation matrix methods to derive the basic reproduction number, stability analysis via Routh–Hurwitz and Castillo–Chavez criteria, and sensitivity analysis using normalized forward sensitivity indices. Numerical simulations were performed to evaluate intervention strategies.
Population and setting
The model represents human and dog populations in tropical and subtropical regions where leptospirosis is a major public health concern, though no specific geographic area or demographic details are provided.
Main findings
The disease-free equilibrium was locally and globally asymptotically stable when the basic reproduction number was below one, while the endemic equilibrium remained globally stable when it exceeded one. Sensitivity analysis identified parameters that either increase outbreak risk (positive indices) or reduce sustained transmission (negative indices). Simulations suggested that effective leptospirosis control requires combining improved environmental sanitation with proper treatment of infections in both humans and animals.
Public-health relevance
The findings offer insights for public health policy in communities affected by leptospirosis, particularly regarding the need for integrated interventions targeting environmental conditions and infection treatment across species.
Important limitations
This summary is limited to the supplied single-article abstract and metadata. Full assessment of model assumptions, parameter estimation methods, data sources, validation approaches, and generalizability requires the original paper for decision-grade interpretation.
GIDS interpretation
This article is discoverable through classifier links for leptospirosis, climate and environment, health policy, One Health, transmission dynamics, and treatment, making it retrievable in searches addressing zoonotic disease modeling and multi-species intervention strategies.
Related GIDS surveillance
Literature context does not validate, explain, or change a surveillance signal. Exact and contextual relationships are shown separately.
Evidence relationships
This article has 10 auditable classifier relationships to diseases, places, topics, and study design.