Global dynamics of a competitive system of rational difference equations

DOI10.1002/mma.3392zbMath1346.39017OpenAlexW1747726635MaRDI QIDQ2795248

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Publication date: 18 March 2016

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

Full work available at URL: https://doi.org/10.1002/mma.3392

zbMATH Keywords

rate of convergenceasymptotic behaviorboundednessnumerical examplesglobal stabilitypersistencepositive equilibrium pointlocal asymptotic stabilitysystem of rational difference equations

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Growth, boundedness, comparison of solutions to difference equations (39A22) Stability theory for difference equations (39A30)

Related Items (9)

Stability and Neimark–Sacker bifurcation of a ratio‐dependence predator–prey model ⋮ Dynamics of a modified Nicholson-Bailey host-parasitoid model ⋮ Global dynamical properties of rational higher-order system of difference equations ⋮ Qualitative properties of difference equation of order six ⋮ Stability analysis of a discrete biological model ⋮ Unnamed Item ⋮ Global dynamics of a \(3 \times 6\) system of difference equations ⋮ Dynamic characteristics of four systems of difference equations with higher order ⋮ Expression and behavior of the solutions of some rational recursive sequences

Cites Work

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• Dynamics of a two-dimensional system of rational difference equations of Leslie-Gower type
• Multiple attractors for a competitive system of rational difference equations in the plane
• Stability and periodic character of a rational third order difference equation
• Global dynamics of a competitive system of rational difference equations in the plane
• Global behavior of four competitive rational systems of difference equations in the plane
• Max-type system of difference equations with positive two-periodic sequences
• Global behaviour of a second-order nonlinear difference equation
• More on Poincaré’s and Perron’s Theorems for Difference Equations∗

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