9 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…
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…
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…
Extinction, persistence and growing in a degenerate logistic model with impulses
Willian Cintra, Zhigui Lin, Carlos Alberto Santos +1
This paper deals with an impulsive degenerate logistic model, where pulses are introduced for modeling interventions or disturbances, and degenerate logistic term may describe refu…
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…