scholarly journals Boundedness and persistence of populations in advective Lotka-Volterra competition system

2018 ◽  
Vol 23 (6) ◽  
pp. 2245-2263
Author(s):  
Qi Wang ◽  
◽  
Yang Song ◽  
Lingjie Shao
Keyword(s):  
Competition System ◽  
Boundedness And Persistence

The periodic n-species Gilpin–Ayala competition system with impulsive effect

2005 ◽  
Vol 26 (2) ◽  
pp. 507-517 ◽  
Author(s):  
Shuwen Zhang ◽  
Dejun Tan ◽  
Lansun Chen
Keyword(s):  
Impulsive Effect ◽  
Competition System

scholarly journals Age-dependent intra-specific competition in pre-adult life stages and its effects on adult population dynamics

2015 ◽  
Vol 27 (1) ◽  
pp. 131-156
Author(s):  
RONGSONG LIU ◽  
GERGELY RÖST ◽  
STEPHEN A. GOURLEY
Keyword(s):  
Disease Transmission ◽  
Adult Population ◽  
Adult Life ◽  
Life Stages ◽  
Larval Competition ◽  
Amphibian Species ◽  
Age Dependent ◽  
Age Structured ◽  
Delay Differential ◽  
Boundedness And Persistence

Intra-specific competition in insect and amphibian species is often experienced in completely different ways in their distinct life stages. Competition among larvae is important because it can impact on adult traits that affect disease transmission, yet mathematical models often ignore larval competition. We present two models of larval competition in the form of delay differential equations for the adult population derived from age-structured models that include larval competition. We present a simple prototype equation that models larval competition in a simplistic way. Recognising that individual larvae experience competition from other larvae at various stages of development, we then derive a more complex equation containing an integral with a kernel that quantifies the competitive effect of larvae of ageāon larvae of agea. In some parameter regimes, this model and the famous spruce budworm model have similar dynamics, with the possibility of multiple co-existing equilibria. Results on boundedness and persistence are also proved.

scholarly journals ASYMPTOTIC SPREADING IN A COMPETITION SYSTEM WITH NONLOCAL DISPERSAL

2020 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Xiaoming Yang ◽  
◽  
Guo Lin ◽  
Jianing Yang ◽  
Keyword(s):  
Nonlocal Dispersal ◽  
Competition System ◽  
Asymptotic Spreading
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