4 papers
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…
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…
Existence of S-shaped type bifurcation curve with dual cusp catastrophe via variational methods
Marcos Leandro Carvalho, Yavdat Il'yasov, Carlos Alberto Santos
We discuss the existence of multiple positive solutions leading to the occurrence of an S-shaped bifurcation curve to the equations of the form $$ -Δ_p u= f(μ,λ, u)~ \mbox{in} ~Ω\s…