Results 91 to 100 of about 8,745 (203)

Using Shannon Entropy and Contagion Index to Interpret Pattern Self-Organization in a Dynamic Vegetation-Sand Model

IEEE Access, 2020
Vegetation pattern is one of the most important self-organized patterns in ecological systems. The formation mechanism of vegetation patterns has been attributed to dynamic bifurcations, while from the external perspective, the regularity of patterns ...
Feifan Zhang, Lei Yao, Wenjiao Zhou, Qinjing You, Huayong Zhang   +4 more
doaj   +1 more source

Bifurcation and Stability of a Spatiotemporal Prey–Predator Model: A Computational Perspective

Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.
In this research work, a ratio‐dependent prey–predator system is investigated for bifurcation and stability analysis. The unique existence of the solution, boundedness, and positivity of the temporal model is derived. Stability analysis of positive steady states is analyzed.
Muhammad Waqas Yasin, Ahmad Shafee, Muhammad Zafarullah Baber, Baboucarr Ceesay, Pramita Mishra   +4 more
wiley   +1 more source

A Nonlinear Cross-Diffusion Model for Disease Spread: Turing Instability and Pattern Formation

Mathematics
In this article, we propose a novel nonlinear cross-diffusion framework to model the distribution of susceptible and infected individuals within their habitat using a reduced SIR model that incorporates saturated incidence and treatment rates.
Ravi P. Gupta, Arun Kumar, Shristi Tiwari   +2 more
doaj   +1 more source

Spatial Complexity of a Predator-Prey Model with Holling-Type Response

Abstract and Applied Analysis, 2014
We focus on a spatially extended Holling-type IV predator-prey model that contains some important factors, such as noise (random fluctuations), external periodic forcing, and diffusion processes.
Lei Zhang, Zhibin Li
doaj   +1 more source

Diffusive Resource–Consumer Dynamics With the Simplest Learning Mechanism and Nonlocal Memory Usage

Mathematical Methods in the Applied Sciences, Volume 48, Issue 18, Page 16433-16444, December 2025.
ABSTRACT To describe cognitive consumers' movement, we study a diffusive resource–consumer model with nonlocal memory usage described by a system of parabolic equations, which is coupled with spatial memory dynamics described by a linear learning equation.
Qigang Deng, Ranchao Wu, Hao Wang
wiley   +1 more source

Recent Progress in CO2 Conversion: An Overview of Catalytic Strategies for Sustainable Fuel and Chemical Synthesis

SmartMat, Volume 6, Issue 6, December 2025.
This review systematically outlines recent advances in the catalytic strategies for converting CO₂ into valuable products, including photocatalysis, electrocatalysis, CO2 hydrogenation, photothermal catalysis, non‐thermal plasma, and biocatalytic processes.
An Zhang, Yanming Cai, Liang Guo, Chao Wang, Qingbo Wa, Yanping Xu, Jian Zhou, Hongshuang Fan, Ziyun Li, Xinyue Long, Jiabei Tang, Zijian Li, Li Zhai, Zhenyu Shi, Wei Zhai, Yuhui Tian, Shuai Bi, Hao Wei, Mingliang Hu, Yang Xu, Yiran Zhang, Yu Zhang, Ruiying Ding, Junjun Li, Shuangqun Chen, Jianfeng Huang, Zhanxi Fan, Xingchen Jiao, Guigao Liu, Haiqing Wang, Haifeng Tian, Jingyu Pang, Kuncheng Zhang, Weisong Liu, Huijuan Cui, Lingling Zhang, Xiaofu Sun, Jianling Zhang, Dan Ren, Sheng Zhang, Lu Qiao, Zhe Weng, Hongmei Li, Min Liu, Miao Zhong, Lei Wang, Jun Gu, Hao Bin Wu, Bolong Huang, Weijia Zhou, Chuan Xia, Min‐Rui Gao, Changbin Zhang, Rong Cao, Wei Chen, Yuan‐Biao Huang, Yongye Liang, Ya‐Qian Lan, Guoxiong Wang, Baoyu Xia, Yujie Xiong, Xinbin Ma, Tongbu Lu, Jinhua Ye, Yi Xie, Buxing Han, Jiawei Liu, Zhicheng Zhang, Hua Zhang   +68 more
wiley   +1 more source

Spatiotemporal dynamics of a diffusive nutrient-phytoplankton model with delayed nutrient recycling

Nonlinear Analysis
In this paper, we investigate the spatiotemporal dynamics of a diffusive nutrient-phytoplankton model with delayed nutrient recycling. We first study the stability of positive equilibrium and Turing instability induced by diffusion.
Yun Yang, Yanfei Du
doaj   +1 more source

Surviving the winds through pattern formation: Mathematical modelling of heather stripes in Scotland

Journal of Ecology, Volume 113, Issue 12, Page 3510-3521, December 2025.
Heather (Calluna vulgaris) and bare soil sometimes form striking patterns in Scottish windy environments. Our simple mathematical model shows that interactions between vegetation, soil and wind—particularly local erosion reduction by plants and upwind shelter of plants by microtopography—are sufficient to generate these self‐organised patterns and ...
Toyo Vignal, Mara Baudena, Jonathan Sherratt, Angeles G. Mayor   +3 more
wiley   +1 more source

Turing pattern dynamics in a fractional-diffusion oregonator model under PD control

Nonlinear Analysis
In this paper, fractional-order diffusion and proportional-derivative (PD) control are introduced in oregonator model, and the Turing pattern dynamics is investigated for the first time.
Hongliang Li, Yi Yao, Min Xiao, Zhen Wang, Leszek Rutkowski   +4 more
doaj   +1 more source

Artificial Intelligence in the Aftermath of Algorithmic Modernity: Some Key Contributions and Open Issues in Japanese Sociology

Japanese Journal of Sociology, Volume 35, Issue 1, January/December 2026.
Anthony Elliott
wiley   +1 more source