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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

A two species commensal symbiosis model with Holling type functional response and the first species subject to Allee effect takes the form $$ \di\frac{dx}{dt}&=&x\Big(a_1-b_1x\Big)\di\frac{x}{\beta +x}+\di\frac{c_1xy^p}{1+y^p}, \di\frac{dy}{dt}&=&y(a_2-b_2y) $$ is investigated, where $a_i, b_i, i=1,2$ $p$, $\beta$ and $c_1$ are all positive constants, $p\geq 1$ is a positive integer. Local and global stability property of the equilibria are investigated. Our study indicates that the unique positive equilibrium is globally stable. Also, the final density of the first species is increasing with the Allee effect, this result differs from that obtained for the Holling type commensal symbiosis model with the second species subject to Allee effect.

Dynamic behaviors of a Holling type commensal symbiosis model with the first species subject to Allee effect