Stability Chaos and Periodic Solution of Delayed Rational Recursive Sequence Article Swipe

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Abdul Khaliq , Mubeen Alam , Sk. Sarif Hassan ·

YOU? · · 2022 · Open Access · · DOI: https://doi.org/10.28919/cpr-pajm/1-15

In this paper, we will investigate a non-linear rational difference equation of higher order. Our concentration is on invariant intervals, periodic character, the character of semi cycles and global asymptotic stability of all positive solutions ofsn+1 = Asn + Bsn−l + (α+βsn−k)/(A0+B0sn−k), n = 0, 1, ...,where the parameters A, B, α, β and A0, B0 and the initial conditions s−r, s−r+1, s−r+2, ..., s0 are arbitrary positive real numbers, r=max{l,k}. Finally, we study the global stability of this equation through numerically solved examples and confirm our theoretical discussion through it.

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Character (mathematics) Mathematics Sequence (biology) Invariant (physics) Stability (learning theory) CHAOS (operating system) Exponential stability Applied mathematics Order (exchange) Pure mathematics Mathematical analysis Combinatorics Mathematical physics Physics Computer science Nonlinear system Chemistry Quantum mechanics Machine learning Economics Biochemistry Geometry Computer security Finance

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Landing Page: https://doi.org/10.28919/cpr-pajm/1-15
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Title: Stability Chaos and Periodic Solution of Delayed Rational Recursive Sequence

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Authors: Abdul Khaliq, Mubeen Alam, Sk. Sarif Hassan

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Concepts: Character (mathematics), Mathematics, Sequence (biology), Invariant (physics), Stability (learning theory), CHAOS (operating system), Exponential stability, Applied mathematics, Order (exchange), Pure mathematics, Mathematical analysis, Combinatorics, Mathematical physics, Physics, Computer science, Nonlinear system, Chemistry, Quantum mechanics, Machine learning, Economics, Biochemistry, Geometry, Computer security, Finance

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