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Advances in Continuous and Discrete Models

Theory and Modern Applications

Figure 1 | Advances in Difference Equations

Figure 1

From: Global and local stability analysis in a nonlinear discrete-time population model

Figure 1

The local stability of models ( 1 ) and ( 2 ). (a) Density-time graphs of the models N t + 1 =r N t + 1 N t + 1 and N t + 1 = r ∗ N t 2 N t + 1 + 1 N t + 1 where α:=α( N t )= N t N t + 1 and r= r ∗ α( N ∗ ) with the initial condition N 0 =0.4 and r=0.5. (b) Density-time graphs of the models N t + 1 =r N t + 1 N t + 1 and N t + 1 = r ∗ N t 2 N t + 1 + 1 N t + 1 where α:=α( N t )= N t N t + 1 and r= r ∗ α( N ∗ ) with the initial condition N 0 =0.4 and r=0.8.

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