Spreading speed and linear determinacy for two-species competition models

2002 ◽  
Vol 45 (3) ◽  
pp. 219-233 ◽  
Author(s):  
Mark A. Lewis ◽  
Bingtuan Li ◽  
Hans F. Weinberger
Keyword(s):  
Spreading Speed ◽  
Species Competition ◽  
Competition Models ◽  
Linear Determinacy

scholarly journals Dynamics of Spruce budworms and single species competition models with bifurcation analysis

2020 ◽  
Vol 9 (6) ◽  
pp. 217-222
Author(s):  
Farah Tasnim ◽  
Md. Kamrujjaman
Keyword(s):  
North America ◽  
Mathematical Models ◽  
Bifurcation Analysis ◽  
Population Model ◽  
Choristoneura Fumiferana ◽  
Single Species ◽  
Species Competition ◽  
Numerical Examples ◽  
Competition Models ◽  
Forest Lands

Choristoneura Fumiferana is perilous defoliators of forest lands in North America and many countries in Europe. In this study, we consider mathematical models in ecology, epidemiology and bifurcation studies; the spruce budworm model and the population model with harvesting. The study is designed based on bifurcation analysis. In particular, the results support population thresholds necessary for survival in certain cases. In a series of numerical examples, the outcomes are presented graphically to compare with bifurcation results.

Spatial distribution of poisonous weed invasion based on inter-species competition models

2017 ◽  
Vol 37 (11) ◽  
Author(s):  
刘华 LIU Hua ◽  
金鑫 JIN Xin ◽  
石磊 SHI Lei ◽  
蒋芮 JIANG Rui ◽  
魏玉梅 WEI Yumei
Keyword(s):  
Spatial Distribution ◽  
Species Competition ◽  
Weed Invasion ◽  
Competition Models

A NEW RESULT ON THE PERIODIC SOLUTIONS FOR DISCRETE PERIODIC n-SPECIES COMPETITION MODELS WITH DELAYS

2009 ◽  
Vol 02 (03) ◽  
pp. 253-266
Author(s):  
YU ZHANG ◽  
ZHIDONG TENG ◽  
SHUJING GAO
Keyword(s):  
Periodic Solutions ◽  
Coincidence Degree ◽  
Degree Theory ◽  
Sufficient Condition ◽  
Species Competition ◽  
Volterra Type ◽  
Mawhin’S Continuation Theorem ◽  
Competition Models ◽  
Competitive Model ◽  
Time Periodic

A discrete time periodic n-species Lotka–Volterra type competitive model with delays is investigated. By using Gaines and Mawhin's continuation theorem based on the coincidence degree theory, a new sufficient condition on the existence of positive periodic solutions of the model is established.

scholarly journals Exchange of equilibria in two species Lotka-Volterra competition models

1982 ◽  
Vol 24 (2) ◽  
pp. 160-170 ◽  
Author(s):  
K. Gopalsamy
Keyword(s):  
Periodic Solution ◽  
Sufficient Conditions ◽  
System Of Equations ◽  
Species Competition ◽  
Asymptotically Stable ◽  
Stable Periodic Solution ◽  
Periodic Functions ◽  
Competition System ◽  
Competition Models ◽  
Stable Periodic

AbstractSufficient conditions are obtained for the existence of a unique asymptotically stable periodic solution for the Lotka-Volterra two species competition system of equations when the intrinsic growth rates are periodic functions of time.

Defining a stability boundary for three species competition models

2009 ◽  
Vol 220 (20) ◽  
pp. 2640-2645 ◽  
Author(s):  
Quay van der Hoff ◽  
Johanna C. Greeff ◽  
Temple H. Fay
Keyword(s):  
Stability Boundary ◽  
Species Competition ◽  
Competition Models
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