Pattern dynamics of a harvested predator–prey model

Chen, Mengxin; Ham, Seokjun; Choi, Yongho; Kim, Hyundong; Kim, Junseok

doi:10.1016/j.chaos.2023.114153

Chaos, Solitons & Fractals

2023

DOI: 10.1016/j.chaos.2023.114153

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Pattern dynamics of a harvested predator–prey model

Mengxin Chen,

Seokjun Ham,

Yongho Choi

et al.

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2024

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Cited by 7 publications

References 35 publications

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Analysis of the effect of inert gas on alveolar/venous blood partial pressure by using the operator splitting method

Jyoti,

Kwak,

Ham

et al. 2024

Numer Methods Biomed Eng

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This study aims to investigate how inert gas affects the partial pressure of alveolar and venous blood using a fast and accurate operator splitting method (OSM). Unlike previous complex methods, such as the finite element method (FEM), OSM effectively separates governing equations into smaller sub‐problems, facilitating a better understanding of inert gas transport and exchange between blood capillaries and surrounding tissue. The governing equations were discretized with a fully implicit finite difference method (FDM), which enables the use of larger time steps. The model employed partial differential equations, considering convection‐diffusion in blood and only diffusion in tissue. The study explores the impact of initial arterial pressure, breathing frequency, blood flow velocity, solubility, and diffusivity on the partial pressure of inert gas in blood and tissue. Additionally, the effects of anesthetic inert gas and oxygen on venous blood partial pressure were analyzed. Simulation results demonstrate that the high solubility and diffusivity of anesthetic inert gas lead to its prolonged presence in blood and tissue, resulting in lower partial pressure in venous blood. These findings enhance our understanding of inert gas interaction with alveolar/venous blood, with potential implications for medical diagnostics and therapies.

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Analysis of the effect of inert gas on alveolar/venous blood partial pressure by using the operator splitting method

Jyoti,

Kwak,

Ham

et al. 2024

Numer Methods Biomed Eng

Self Cite

View full text Add to dashboard Cite

show abstract

The Allen–Cahn model with a time-dependent parameter for motion by mean curvature up to the singularity

Yang,

Lee,

Kwak

et al. 2024

Chaos, Solitons & Fractals

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Steady state bifurcation and pattern formation of a diffusive population model

Chen,

Li,

2024

Communications in Nonlinear Science and Numerical Simulation

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Pattern dynamics of a harvested predator–prey model

Cited by 7 publications

References 35 publications

Analysis of the effect of inert gas on alveolar/venous blood partial pressure by using the operator splitting method

Analysis of the effect of inert gas on alveolar/venous blood partial pressure by using the operator splitting method

The Allen–Cahn model with a time-dependent parameter for motion by mean curvature up to the singularity

Steady state bifurcation and pattern formation of a diffusive population model

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