Geodesic
Stability of Almost Periodic Nicholson’s Blowflies Model Involving Patch Structure and Mortality Terms
Canadian mathematical bulletin, Tome 63 (2020) no. 2, pp. 405-422

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DOI

Taking into account the effects of patch structure and nonlinear density-dependent mortality terms, we explore a class of almost periodic Nicholson’s blowflies model in this paper. Employing the Lyapunov function method and differential inequality technique, some novel assertions are developed to guarantee the existence and exponential stability of positive almost periodic solutions for the addressed model, which generalize and refine the corresponding results in some recently published literatures. Particularly, an example and its numerical simulations are arranged to support the proposed approach.
DOI : 10.4153/S0008439519000511
Mots-clés : Nicholson’s blowflies model, patch structure, density-dependent mortality term, almost periodic solution, stability 
Huang, Chuangxia; Long, Xin; Huang, Lihong; Fu, Si. Stability of Almost Periodic Nicholson’s Blowflies Model Involving Patch Structure and Mortality Terms. Canadian mathematical bulletin, Tome 63 (2020) no. 2, pp. 405-422. doi: 10.4153/S0008439519000511
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     author = {Huang, Chuangxia and Long, Xin and Huang, Lihong and Fu, Si},
     title = {Stability of {Almost} {Periodic} {Nicholson{\textquoteright}s} {Blowflies} {Model} {Involving} {Patch} {Structure} and {Mortality} {Terms}},
     journal = {Canadian mathematical bulletin},
     pages = {405--422},
     year = {2020},
     volume = {63},
     number = {2},
     doi = {10.4153/S0008439519000511},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000511/}
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