English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The provision of additional food (AF) sources to an introduced predator hasbeen identified as a mechanism to improve pest control. However, AF models withprey dependent functional responses can cause unbounded growth of the predator\cite{S27}. To avoid such dynamics, an AF model with mutual interference effecthas been proposed \cite{S02}. The analysis therein reveals that if the quantityof additional food $\xi > h(\epsilon)$, where $\epsilon$ is the mutualinterference parameter, then pest eradication is possible, and this isfacilitated via a transcritical bifurcation. We revisit this model and shownovel dynamical behaviors. In particular, pest eradication is possible for atighter range of AF $g(\epsilon) < \xi < f(\epsilon) < h(\epsilon)$, and canalso occur via a saddle node bifurcation. We observe bi-stability, as well aslocal bifurcations of Hopf type. We also prove a global bifurcation, ofhomoclinic type. This bifurcation in turn is shown to create a non-standarddynamic wherein the pest extinction state becomes an ``almost" globalattractor. To the best of our knowledge, this is the first proof of existenceof such a dynamical structure in AF models. We discuss our analysis in thecontext of designing novel bio-control strategies.

Novel Dynamics in an Additional Food provided Predator-Prey System with mutual interference