Andronov-Hopf and Bautin bifurcation in a tritrophic food chain model with Holling functional response types IV and II
The existence of an Andronov–Hopf and Bautin bifurcation of a given system of differential equations is shown. The system corresponds to a tritrophic food chain model with Holling functional responses type IV and II for the predator and superpredator, respectively. The linear and logistic growth is...
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2018
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Matematikai modell, Bifurkáció |
| Online Access: | http://acta.bibl.u-szeged.hu/55748 |
| LEADER | 01494nas a2200217 i 4500 | ||
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| 001 | acta55748 | ||
| 005 | 20210916104244.0 | ||
| 008 | 181107s2018 hu o 0|| zxx d | ||
| 022 | |a 1417-3875 | ||
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a zxx | ||
| 100 | 1 | |a Blé Gamaliel | |
| 245 | 1 | 0 | |a Andronov-Hopf and Bautin bifurcation in a tritrophic food chain model with Holling functional response types IV and II |h [elektronikus dokumentum] / |c Blé Gamaliel |
| 260 | |c 2018 | ||
| 300 | |a 1-27 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a The existence of an Andronov–Hopf and Bautin bifurcation of a given system of differential equations is shown. The system corresponds to a tritrophic food chain model with Holling functional responses type IV and II for the predator and superpredator, respectively. The linear and logistic growth is considered for the prey. In the linear case, the existence of an equilibrium point in the positive octant is shown and this equilibrium exhibits a limit cycle. For the logistic case, the existence of three equilibrium points in the positive octant is proved and two of them exhibit a simultaneous Hopf bifurcation. Moreover the Bautin bifurcation on these points are shown. | |
| 695 | |a Matematikai modell, Bifurkáció | ||
| 700 | 0 | 1 | |a Castellanos Víctor |e aut |
| 700 | 0 | 2 | |a Loreto-Hernández Iván |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/55748/1/ejqtde_2018_078.pdf |z Dokumentum-elérés |