ArticleScientific reports2024
Optimal control strategies for toxoplasmosis disease transmission dynamics via harmonic mean-type incident rate.
Article in Scientific reports, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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5 citing papers in PubMed.
- Modelling the impact of awareness campaigns on HPV transmission dynamics: a neural network-enhanced mathematical model.Scientific reports · 2026Article
- Article
- Cysteine-S-nitrosylation inhibits Rop5-mediated immune evasion inbioRxiv : the preprint server for biology · 2025Article
- Fractional-order mathematical modeling of toxoplasmosis transmission dynamics with harmonic mean-type incidence rate.Scientific reports · 2025Article
- Establishment of an ELISA for detecting oocyst-derivedFrontiers in veterinary science · 2025Article
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Authors and funding
6 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Toxoplasma infection in humans is considered due to direct contact with infected cats. Toxoplasma infection (an endemic disease) has the potential to affect various organs and systems (brain, eyes, heart, lungs, liver, and lymph nodes). Bilinear incidence rate and constant population (birth rate is equal to death rate) are used in the literature to explain the dynamics of Toxoplasmosis disease transmission in humans and cats. The goal of this study is to consider the mathematical model of Toxoplasma disease with harmonic mean type incident rate and also consider that the population of humans and cats is not equal (birth rate and the death rate are not equal). In examining Toxoplasma transmission dynamics in humans and cats, harmonic mean incidence rates are better than bilinear incidence rates. The disease dynamics are first schematically illustrated, and then the law of mass action is applied to obtain nonlinear ordinary differential equations (ODEs). Analysis of the boundedness, positivity, and equilibrium points of the system has been analyzed. The reproduction number is calculated using the next-generation matrix technique. The stability of disease-free and endemic equilibrium are analyzed. Sensitivity analysis is also done for reproduction number. Numerical simulation shows that the infection is spread in the population when the contact rate
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