Qualitative analysis of two systems of nonlinear first‐order ordinary differential equations for biological systems

DOI10.1002/mma.8056zbMath1527.34031OpenAlexW4205215467MaRDI QIDQ6141503

Benjamin Wacker, Jan Schlüter

Publication date: 19 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8056

zbMATH Keywords

stabilityuniquenessdynamical systemssolvabilityoscillationsnonnegativityfirst-order nonlinear ordinary differential equations

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Time delay in physiological systems: analyzing and modeling its impact
• Estimating the ultimate bound and positively invariant set for the Lorenz system and a unified chaotic system
• Modeling in biopharmaceutics, pharmacokinetics and pharmacodynamics. Homogeneous and heterogeneous approaches
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Numerical data fitting in dynamical systems. A practical introduction with applications and software. With CD-ROM
• Mathematical modeling in renal physiology
• An age- and sex-structured SIR model: theory and an explicit-implicit numerical solution algorithm
• Time-continuous and time-discrete SIR models revisited: theory and applications
• A cubic nonlinear population growth model for single species: theory, an explicit-implicit solution algorithm and applications
• On high order Runge-Kutta-Nyström pairs
• Periodic van der Pol equation with state dependent impulses
• Ordinary Differential Equations: Basics and Beyond
• The MATLAB ODE Suite
• Deterministic Nonperiodic Flow
• A time‐fractional competition ecological model with cross‐diffusion

This page was built for publication: Qualitative analysis of two systems of nonlinear first‐order ordinary differential equations for biological systems