Diffusion-driven instabilities in a tri-trophic food web model: From Turing to non-Turing patterns and waves
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 …
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 …
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?
Natural systems show heterogeneous patchy distributions of vegetation over large
landscapes. Reaction–diffusion systems can demonstrate such heterogeneity of species …
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
This study expands traditional reaction–diffusion models by incorporating hyperbolic
dynamics to explore the effects of inertial delays on pattern formation. The kinetic system …
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
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 …
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 …
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 …