• Complex
  • Title
  • Keyword
  • Abstract
  • Scholars
  • Journal
  • ISSN
  • Conference
成果搜索

author:

Fang, Kan (Fang, Kan.) [1] | Wang, Yiqin (Wang, Yiqin.) [2] | Chen, Fengde (Chen, Fengde.) [3] (Scholars:陈凤德) | Chen, Xiaoying (Chen, Xiaoying.) [4]

Indexed by:

Scopus SCIE

Abstract:

This study investigates a modified Lotka-Volterra commensalism system that incorporates the weak Allee effect in prey and symmetric (equal harvesting effort for both species) non-selective harvesting, addressing a critical gap in ecological modeling. Unlike previous work, we rigorously examine how the interaction between the Allee effect and harvesting disrupts system stability, giving rise to novel bifurcation phenomena and population collapse thresholds. Using eigenvalue analysis and the Dulac-Bendixson criterion, we derive sufficient conditions for the existence and stability of equilibria. We find that harvesting destabilizes the system by inducing two saddle-node bifurcations. Notably, prey abundance can increase with greater Allee intensity under controlled harvesting-a rare and counterintuitive ecological outcome. Moreover, exceeding a critical harvesting threshold drives both species to extinction, while controlled harvesting allows sustainable coexistence. Numerical simulations support these analytical findings and identify critical parameter ranges for species coexistence. These results contribute to theoretical ecology and offer insights for designing sustainable harvesting strategies that balance exploitation with conservation.

Keyword:

Allee effect bifurcation harvest Lotka-Volterra commensal symbiosis model

Community:

  • [ 1 ] [Fang, Kan]Fuzhou Univ, Zhicheng Coll, Dept Math & Stat, Fuzhou 350002, Peoples R China
  • [ 2 ] [Wang, Yiqin]Fujian Inst Educ, Dept Math Res, Fuzhou 350001, Peoples R China
  • [ 3 ] [Chen, Xiaoying]Fujian Inst Educ, Dept Math Res, Fuzhou 350001, Peoples R China
  • [ 4 ] [Chen, Fengde]Fuzhou Univ, Sch Math & Stat, Fuzhou 350108, Peoples R China

Reprint 's Address:

  • [Chen, Xiaoying]Fujian Inst Educ, Dept Math Res, Fuzhou 350001, Peoples R China

Show more details

Related Keywords:

Source :

SYMMETRY-BASEL

Year: 2025

Issue: 6

Volume: 17

2 . 2 0 0

JCR@2023

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

Online/Total:1537/13870896
Address:FZU Library(No.2 Xuyuan Road, Fuzhou, Fujian, PRC Post Code:350116) Contact Us:0591-22865326
Copyright:FZU Library Technical Support:Beijing Aegean Software Co., Ltd. 闽ICP备05005463号-1