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20242026
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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…