On the Geographic Spread of Chikungunya between Brazil and Florida: A Multi-patch Model with Time Delay

On the Geographic Spread of Chikungunya between Brazil and Florida: A Multi-patch Model with Time Delay

Publication date: Oct 01, 2025

Chikungunya (CHIK) is a viral disease transmitted to humans through the bites of {it Aedes} mosquitoes infected with the chikungunya virus (CHIKV). CHIKV has been imported annually to Florida in the last decade due to Miami’s crucial location as a hub for international travel, particularly from Central and South America including Brazil, where CHIK is endemic. This work addresses to the geographic spread of CHIK, incorporating factors such as human movement, temperature dependency, as well as vertical transmission, and incubation periods, for different patches. Central to the model is the integration of a multi-patch framework, and in the numerical analysis it is considered human movement between endemic Brazilian states and Florida. We establish crucial correlations between the mosquito reproduction number $mathcal{R}_{m}$ and the disease reproduction number $mathcal{R}_{0}$ with the disease dynamics in a multi-patch environment, encompassing not only a numerical analysis but also from a theoretical perspective. Through numerical simulations, validated with real population and temperature data, it is possible to understand the disease dynamics under many different scenarios and make future projections, offering insights for potential effective control strategies, as well as addressing the timing for these strategies to be adopted.

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Concepts Keywords
Annually Amhb
Debilitating Chik
Florida Compact
Python Define
Vaccine Kit
Lemma
Mosquito
Mosquitoes
Operator
Patch
System
Temperature
Theorem
Transmission

Semantics

Type Source Name
disease MESH viral disease
drug DRUGBANK Huperzine B
pathway REACTOME Reproduction
disease MESH dengue
disease MESH joint pain
disease IDO symptom
disease MESH inflammation
drug DRUGBANK Succimer
disease MESH autochthonous transmission
disease MESH vector borne diseases
drug DRUGBANK Ribostamycin
disease MESH infection
disease MESH death
drug DRUGBANK Pyruvic acid
drug DRUGBANK Medical air
disease MESH COVID 19 pandemic

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