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Dynamical properties of some rational systems of difference equations
Author(s) -
Khan A. Q.,
Qureshi S. M.
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6955
Subject(s) - mathematics , convergence (economics) , dynamical systems theory , dynamics (music) , equilibrium point , rate of convergence , instability , mathematical analysis , differential equation , channel (broadcasting) , physics , engineering , quantum mechanics , acoustics , mechanics , electrical engineering , economics , economic growth
We explore the equilibrium points, local and global dynamics, rate of convergence, instability and boundedness of positive solution of some rational systems of difference equations. As an application of difference equations in mathematical biology, we also explore the local dynamics about equilibrium points of the discrete‐time Levin's model. Finally, obtained results are verified numerically.