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(as the solution A < 0 is not physical, it is ignored, leaving a single positive fixed point for positive h), and the eigenvalue of this fixed point is given by λ = − h 2 + 4 h.
Hence has a unique positive fixed point.
To conclude, F has a unique positive fixed point (y^) and (F' y^)<1).
Thus, ((x^,y^)) is the unique positive fixed point of system (3).
If Φ : K → K is strongly superlinear and increasing, then Φ has at most one positive fixed point.
Similarly, the system (1.3) has a unique positive fixed point if one of the 22 conditions holds.
We showed that the unique positive fixed point of (3) can undergo a flip bifurcation and a NS bifurcation under certain parametric conditions.
There is a unique positive fixed point for (2.3), which is as follows: u ˜ ( t ) = c d ( 1 − p 1 − ( 1 − p ) e − d T ).
In this paper, we show that the unique positive fixed point of the system (1.3) can undergo a flip bifurcation with the condition (2.1).
With the increasing of the delay (the critical point (tau_{0})), the positive fixed point loses its stability and a family of periodic solutions occurs, the number of red blood cells oscillates around the unstable equilibrium.
We algebraically show that system (1.2) undergoes a bifurcation (flip or Neimark-Sacker) at a unique positive fixed point if r varies around the sets (F_{B}) and (H_{B}).
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