Global Dynamics of a 3 × 6 System of Difference Equations
2019 ◽
Vol 2019
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pp. 1-14
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Keyword(s):
In the proposed work, global dynamics of a 3×6 system of rational difference equations has been studied in the interior of R+3. It is proved that system has at least one and at most seven boundary equilibria and a unique +ve equilibrium under certain parametric conditions. By utilizing method of Linearization, local dynamical properties about equilibria have been investigated. It is shown that every +ve solution of the system is bounded, and equilibrium P0 becomes a globally asymptotically stable if α1<α2,α4<α5, α7<α8. It is also shown that every +ve solution of the system converges to P0. Finally theoretical results are verified numerically.
2021 ◽
Vol 31
(03)
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pp. 2150050
2021 ◽
2019 ◽
Vol 27
(01)
◽
pp. 19-49
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2019 ◽
Vol 4
(2)
◽
pp. 349
◽
2014 ◽
Vol 9
◽
pp. 53-68
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2015 ◽
Vol 2015
◽
pp. 1-9
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