Diffusion-driven instabilities in a tri-trophic food web model: From Turing to non-Turing patterns and waves

B Chakraborty, S Marick, N Bairagi - Chaos, Solitons & Fractals, 2024 - Elsevier
This work uses a reaction–diffusion system to explore self-organized pattern-forming
phenomena through species distribution in a tri-trophic food web system. The interacting …

Parameter identification of a reaction-diffusion predator-prey system based on optimal control theory

L Miao, L Zhu - Applied Mathematical Modelling, 2024 - Elsevier
This paper takes a reaction-diffusion predator-prey system with ratio-dependent Holling III
functional response function and Leslie-Gower term into consideration. First of all, the …

How do productivity gradient and diffusion shape patterns in a plant–herbivore grazing system?

S Marick, F Takasu, N Bairagi - Journal of Theoretical Biology, 2024 - Elsevier
Natural systems show heterogeneous patchy distributions of vegetation over large
landscapes. Reaction–diffusion systems can demonstrate such heterogeneity of species …

Dynamic patterns in herding predator–prey system: Analyzing the impact of inertial delays and harvesting

S Bhattacharya, S Ghorai, N Bairagi - Chaos: An Interdisciplinary …, 2024 - pubs.aip.org
This study expands traditional reaction–diffusion models by incorporating hyperbolic
dynamics to explore the effects of inertial delays on pattern formation. The kinetic system …

Stability and bifurcation analysis of a discrete predator-prey system of Ricker type with harvesting effect

M Imran, MB Almatrafi, R Ahmed - Commun. Math. Biol. Neurosci., 2024 - scik.org
In ecosystems, the harvesting effect is crucial for maintaining predator-prey relationships.
The goal of this study is to look into the complexity of a discrete-time predator-prey system …

一类离散捕食-被捕食系统周期解的存在性

何锦玉 - Pure Mathematics, 2024 - hanspub.org
本文利用向前Euler 方法, 将具有比率依赖功能反应函数的连续模型离散化,
从而得到一个新的差分方程模型. 运用重合度理论以及一些先验估计, 获得了差分系统正周期解 …