Academic Journal

Neimark–Sacker Bifurcation and Stability of a Certain Class of Host-Parasitoid Models with Host Refuge Effect.

التفاصيل البيبلوغرافية
العنوان: Neimark–Sacker Bifurcation and Stability of a Certain Class of Host-Parasitoid Models with Host Refuge Effect.
المؤلفون: Bešo, Emin1 (AUTHOR) emin.beso@hotmail.com, Kalabušić, Senada1 (AUTHOR) kalabusicsenada06@gmail.com, Mujić, Naida2 (AUTHOR) mujicnaida@gmail.com, Pilav, Esmir1 (AUTHOR) esmirpilav@gmail.com
المصدر: International Journal of Bifurcation & Chaos in Applied Sciences & Engineering. Nov2019, Vol. 29 Issue 12, pN.PAG-N.PAG. 19p.
مصطلحات موضوعية: *PARASITOIDS, *PARASITISM, *NUMERICAL calculations
مستخلص: In this paper, we consider the dynamics of a certain class of host-parasitoid models, where some hosts are completely free from parasitism either with or without a spatial refuge and the host population is governed by the Beverton–Holt equation. We assume that, in each generation, a constant portion of the host population may find a refuge and be safe from the attack by parasitoids. We derive some criteria for the Neimark–Sacker bifurcation. Then, we apply the developed theory to the three well-known cases: (S) model, Hassel and Varley model, and parasitoid–parasitoid model. Intensive numerical calculations suggest that the last two models undergo a supercritical Neimark–Sacker bifurcation. [ABSTRACT FROM AUTHOR]
قاعدة البيانات: Academic Search Index
الوصف
تدمد:02181274
DOI:10.1142/S0218127419501694