We examine a discrete-time host-parasitoid model incorporating simultaneously an Allee and a refuge effect on the host. We investigate existence of a positive fixed point, local asymptotic stability, global stability of the fixed points and bifurcations. Numerical examples are given for verification of the theoretical results and we compare the model with existing data from the literature. 2020 Mathematics Subject Classifications: 92D25, 39A30, 92D30
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Natl Res Council CNR, Inst Geosci & Earth Resources IGG, Via Valperga Caluso 35, I-10125 Turin, ItalyNatl Res Council CNR, Inst Geosci & Earth Resources IGG, Via Valperga Caluso 35, I-10125 Turin, Italy
Vissio, Gabriele
Provenzale, Antonello
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Natl Res Council CNR, Inst Geosci & Earth Resources IGG, Via Giuseppe Moruzzi 1, I-56124 Pisa, ItalyNatl Res Council CNR, Inst Geosci & Earth Resources IGG, Via Valperga Caluso 35, I-10125 Turin, Italy