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**Analysis of the growth rate of feminine mosquito through difference equations.**
*(English)*
Zbl 1510.39015

Summary: The mosquito life cycle is developed mathematically with the concept of difference equation. The qualitative properties of the life-cycle are analyzed. The Lyapunov function is defined for difference equation to stabilize the system of mosquito life cycle. A novel technique is applied for deriving stability criterion, especially the back-stepping control technique is applied for discrete time system. The bifurcation analysis is also furnished for the model of mosquito life cycle. The new technique is applied in the mosquito life cycle model and its results are examined through MATLAB.

### MSC:

39A60 | Applications of difference equations |

39A30 | Stability theory for difference equations |

39A28 | Bifurcation theory for difference equations |

92D25 | Population dynamics (general) |

37N25 | Dynamical systems in biology |

### Keywords:

difference equation; mosquito; bifurcation; equilibrium; strict feedback; difference equation; mosquito; bifurcation; equilibrium; strict feedback
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\textit{R. Murugesan} et al., Ural Math. J. 8, No. 2, 133--142 (2022; Zbl 1510.39015)

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