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Fig. 4 | SpringerPlus

Fig. 4

From: Mathematical analysis of a nutrient–plankton system with delay

Fig. 4

a, b The coexistence equilibrium \(E^*(5.48181.917314.7487)\) becomes stable for \((\tau _1, \tau _2, \tau _3)\) with \(\tau _1=8<\tau _1^1\). c Coexistence equilibrium \(E^*\) loses its stability at \((\tau _1, \tau _2, \tau _3)\) with \(\tau _1=11.56>\tau _1^1\). Stable periodic solution arising from Hopf bifurcation at \(\tau _1=\tau _1^1\). d, e Stable limit cycle is observed at \((\tau _1, \tau _2, \tau _3)\) with \(\tau _1=12\). Here \(\tau _1^1=10.6156\)

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