Additional Food Causes Predators to Explode — Unless the Predators Compete
نویسندگان
چکیده
The literature posits that an introduced predator population, is able to drive it's target pest population extinct, if supplemented with high quality additional food of quantity $\xi > \xi_{critical}$, \cite{SP11, SPV18, SPD17, SPM13}. We show this approach leads infinite time blow-up the population. propose alternate model in which induces competition. Analysis herein indicates there are threshold values $c^{*}_{1} < c^{*}_{2} c^{*}_{3}$ competition parameter $c$, s.t. when $c c^{*}_{1}$, free state globally stable, $c^{*}_{2} c c^{*}_{3}$, bi-stability possible, and $c^{*}_{3} c$, up three interior equilibriums could exist. As $c$ $\xi$-$c$ varied, standard co-dimension one two bifurcations observed. recent dynamical systems involving competition, report several non-standard such as saddle-node-transcritical bifurcation (SNTC) occurring \cite{KSV10, BS07}, cusp-transcritical (CPTC) three, \cite{D20, BS07}. our structural symmetries can be exploited construct a SNTC two, CPTC also two. further use these novel pitchfork-transcritical (PTC) thus explicitly characterizing new organizing center model. Dynamics homoclinic orbits, concurrently limit cycles, driven Turing patterns Our findings indicate increasing predator-pest models, hinder bio-control, contrary some literature. However, bio-control scenarios, complements work \cite{H21, B98, K04, D20, BS07, VH19}.
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ژورنال
عنوان ژورنال: International Journal of Bifurcation and Chaos
سال: 2023
ISSN: ['0218-1274', '1793-6551']
DOI: https://doi.org/10.1142/s0218127423500347