Stability of a stage-structured plant-pollinator mutualism model with the beddington-deangelis functional response - Details

author：

Li, Tingting (Li, Tingting.) ^[1] | Chen, Fengde (Chen, Fengde.) ^[2] (Scholars：陈凤德) | Chen, Jinhuang (Chen, Jinhuang.) ^[3] | Lin, Qiaoxia (Lin, Qiaoxia.) ^[4]

Indexed by：

EI Scopus

Abstract：

A　stage-structured　plant-pollinator　mutualism　model　with　the　Beddington-DeAngelis　functional　response　is　introduced　and　studied.　Our　results　show　that　the　mutual　interference　concerning　pollinator　k2　does　not　have　an　impact　on　the　permanence　and　the　extinction　of　the　stage-structured　plant-pollinator　mutualism.　However,　when　the　positive　equilibrium　is　unstable,　a　sufficient　large　k2　can　drive　the　system　into　a　globally　stable.　Furthermore,　some　sufficient　cases　which　guarantee　the　permanence　of　the　system　are　obtained.　The　local　stability　of　the　system　is　discussed　by　the　sign　of　eigenvalue.　Finally,　we　analyze　the　global　stability　of　the　system　via　iterative　methods.　©　2017　Journal　of　Nonlinear　Functional　Analysis.

Keyword：

Eigenvalues and eigenfunctions Iterative methods System stability

Community：

[ 1 ] [Li, Tingting]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian; 350002, China
[ 2 ] [Chen, Fengde]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian; 350002, China
[ 3 ] [Chen, Jinhuang]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian; 350002, China
[ 4 ] [Lin, Qiaoxia]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian; 350002, China