Statistical physics of vaccination

Z Wang, CT Bauch, S Bhattacharyya, A d'Onofrio… - Physics Reports, 2016 - Elsevier
Historically, infectious diseases caused considerable damage to human societies, and they
continue to do so today. To help reduce their impact, mathematical models of disease …

Mathematical modeling and mechanisms of pattern formation in ecological systems: a review

GQ Sun, HT Zhang, JS Wang, J Li, Y Wang, L Li… - Nonlinear …, 2021 - Springer
How populations distribute in both space and time is one of the key issues in ecological
systems, which can characterize the relationship between populations, space–time structure …

[HTML][HTML] Collective responses in electrical activities of neurons under field coupling

Y Xu, Y Jia, J Ma, T Hayat, A Alsaedi - Scientific reports, 2018 - nature.com
Synapse coupling can benefit signal exchange between neurons and information encoding
for neurons, and the collective behaviors such as synchronization and pattern selection in …

Hybrid control on bifurcation for a delayed fractional gene regulatory network

C Huang, J Cao, M Xiao - Chaos, Solitons & Fractals, 2016 - Elsevier
A novel delayed fractional-order gene regulatory network model is proposed in this paper.
Firstly, the sum of delays is chosen as the bifurcation parameter, the conditions of the …

Spatial dynamics of an epidemic model with nonlocal infection

ZG Guo, GQ Sun, Z Wang, Z Jin, L Li, C Li - Applied Mathematics and …, 2020 - Elsevier
Nonlocal infection plays an important role in epidemic spread, which can reflect the real
rules of infectious disease. To understand its mechanism on disease transmission, we …

Nonlocal interactions between vegetation induce spatial patterning

J Liang, C Liu, GQ Sun, L Li, L Zhang, M Hou… - Applied Mathematics …, 2022 - Elsevier
Vegetation pattern provides useful signals for vegetation protection and can be identified as
an early warning of desertification. In some arid or semi-arid regions, vegetation absorbs …

[HTML][HTML] Web malware spread modelling and optimal control strategies

W Liu, S Zhong - Scientific reports, 2017 - nature.com
The popularity of the Web improves the growth of web threats. Formulating mathematical
models for accurate prediction of malicious propagation over networks is of great …

Turing–Hopf bifurcation analysis of a predator–prey model with herd behavior and cross-diffusion

X Tang, Y Song, T Zhang - Nonlinear dynamics, 2016 - Springer
In this paper, we consider a predator–prey model with herd behavior and cross-diffusion
subject to homogeneous Neumann boundary condition. Firstly, the existence and priori …

Pattern dynamics of a Gierer–Meinhardt model with spatial effects

GQ Sun, CH Wang, ZY Wu - Nonlinear Dynamics, 2017 - Springer
Interactions of activator and inhibitor can be widely applied in different fields. As a result,
dynamical behaviors of an activator–inhibitor model with different sources are investigated …

Inner pipe downward movement effect on melting of PCM in a double pipe heat exchanger

Y Pahamli, MJ Hosseini, AA Ranjbar… - Applied Mathematics and …, 2018 - Elsevier
This study is aimed to investigate the melting of phase change material (PCM) in a
horizontal double pipe heat exchanger. The area between the pipes is filled with RT50 as …