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20232026
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math.AP2026

On a two-season faecal-oral model with impulsive intervention

Qi Zhou, Zhigui Lin, Carlos Alberto Santos

Rainfall is associated with the outbreak of certain waterborne faecal-oral diseases, driving the implementation of various human interventions for their control and prevention. Tak…

math.AP2025

Nonlocal diffusion and pulse intervention in a faecal-oral model with moving infected fronts

Qi Zhou, Michael Pedersen, Zhigui Lin

How individual dispersal patterns and human intervention behaviours affect the spread of infectious diseases constitutes a central problem in epidemiological research. This paper d…

math.AP2024

On an impulsive faecal-oral model in a moving infected environment

Qi Zhou, Zhigui Lin, Michael Pedersen

This paper develops an impulsive faecal-oral model with free boundary to in order to understand how the exposure to a periodic disinfection and expansion of the infected region tog…

math.AP2024

On an age-structured model in moving boundaries: The effects of nonlocal diffusion and harvesting pulse

Haiyan Xu, Carlos Alberto Santos, Mengyun Zhang +1

In order to understand how nonlocal diffusion and pulse intervention affect dynamics of species, we focus on an age-structured nonlocal diffusion model in moving and heterogeneous…

math.AP2024

On an impulsive faecal-oral model in a periodically evolving environment

Qi Zhou, Zhigui Lin, Carlos Alberto Santos

To understand how impulsive intervention and regional evolution jointly influence the spread of faecal-oral diseases, this paper develops an impulsive faecal-oral model in a period…

math.AP2023

A competition model with impulsive interventions and environmental perturbations in moving environments

Yue Meng, Zhigui Lin, Carlos Alberto Santos

In order to understand how impulsive interventions and environmental perturbations affect dynamics of competitors, we focus on a diffusive competition model with free boundaries an…