Dengue fever model with impulsive intervention in a periodically varying environment
Abstract
Pulse interventions represent a highly effective measure for infection control, as they influence disease transmission through short-term actions. In addition, the habitat ranges of dengue vectors and hosts exhibit periodic variations driven by environmental and climatic factors. To investigate the effects of impulsive interventions and domain evolution on disease transmission, we propose a dengue fever reaction-diffusion model that incorporates impulsive perturbations in a periodically varying domain. By applying the Poincaracutee map and the Krein-Rutman theorem, we establish the existence of the principal eigenvalue for the periodic eigenvalue problem with impulses, thereby extending previous studies on reaction-diffusion equations in fixed domains without impulsive effects. Sufficient conditions governing the long-term dynamics of periodic solutions are derived using the comparison principle and monotone iteration theory. Numerical simulations corroborate the theoretical findings and elucidate the effects of impulsive-intervention intensity and periodic domain evolution on disease transmission patterns. Our results indicate that increasing the intensity of pulse interventions suppresses disease transmission, whereas a larger magnitude of domain variation impedes disease control.
Related
- On a nonlocal dengue model with moving boundaries: The impact of dry-wet season and impulsive intervention
- Finite-Time Stability of Fractional-Order Damped Integro-Differential Systems with Impulsive Effects and Multiple Time Delays
- Periodically kicked feedforward chains of simple excitable FitzHugh–Nagumo neurons
- Kurzweil's impulsive inverse problem for the Kelvin--Voigt equations with p-Laplacian
- Robust Iterative Learning Control for Multi-Agent Systems with Random Impulsive Disturbances
BibTeX
@misc{zhang2026dengue,
title = {{Dengue fever model with impulsive intervention in a periodically varying environment}},
author = {Han Zhang and Inkyung Ahn and Zhigui Lin},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.21205},
eprint = {2609.21205},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.21205},
}
RIS
TY - UNPB
TI - Dengue fever model with impulsive intervention in a periodically varying environment
AU - Han Zhang
AU - Inkyung Ahn
AU - Zhigui Lin
PY - 2026
DA - 2026/09/18
PB - arXiv
DO - 10.48550/arxiv.2609.21205
UR - https://arxiv.org/abs/2609.21205
AB - Pulse interventions represent a highly effective measure for infection control, as they influence disease transmission through short-term actions. In addition, the habitat ranges of dengue vectors and hosts exhibit periodic variations driven by environmental and climatic factors. To investigate the effects of impulsive interventions and domain evolution on disease transmission, we propose a dengue fever reaction-diffusion model that incorporates impulsive perturbations in a periodically varying domain. By applying the Poincaracutee map and the Krein-Rutman theorem, we establish the existence of the principal eigenvalue for the periodic eigenvalue problem with impulses, thereby extending previous studies on reaction-diffusion equations in fixed domains without impulsive effects. Sufficient conditions governing the long-term dynamics of periodic solutions are derived using the comparison principle and monotone iteration theory. Numerical simulations corroborate the theoretical findings and elucidate the effects of impulsive-intervention intensity and periodic domain evolution on disease transmission patterns. Our results indicate that increasing the intensity of pulse interventions suppresses disease transmission, whereas a larger magnitude of domain variation impedes disease control.
ER -