5 papers
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…
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…
Interaction between harvesting intervention and birth perturbation in an age-structured model
Haiyan Xu, Zhigui Lin, Carlos Alberto Santos
An age-structured fish model with birth and harvesting pulses is established, where birth pulses are responsible for increasing the amount of fish due to the constant multiple plac…
The final size and critical times of an SIVR epidemic model
Phyu Phyu Win, Zhigui Lin, Mengyun Zhang
To understand the impact of vaccination, we consider a SIVR (susceptible-infected-vaccinated-recovered) model which combines impulsive vaccination into the classical SIR model. The…
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…