Analysis of a Class of Lotka-Volterra Systems

被引：3

作者：

Moza, G. ^{[1
]}

Constantinescu, D. ^{[2
]}

Efrem, R. ^{[3
]}

Bucur, L. ^{[2
]}

Constantinescu, R. ^{[4
]}

机构：

[1] Politehn Univ Timisoara, Dept Math, Timisoara, Romania

[2] Univ Craiova, Dept Appl Math, Craiova, Romania

[3] Univ Craiova, Dept Math, Craiova, Romania

[4] Univ Craiova, Dept Phys, Craiova, Romania

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2022年 / 21卷 / 02期

关键词：

MODEL;

D O I：

10.1007/s12346-022-00563-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A two-dimensional cubic Lotka-Volterra model with infinitesimal parameters is studied. Two different degenerate cases have been considered. The local behavior of the model has been studied in these cases. Sixteen different bifurcation diagrams with forty different regions describe the model's behavior in the two cases.

引用

页数：25

共 50 条

[41] A modified Lotka-Volterra oscillating chemical scheme for detonation simulation [J].

Faghih, Mahdi ;

Melguizo-Gavilanes, Josue ;

Mevel, Remy .

COMBUSTION AND FLAME, 2023, 254

[42] Permanence of hybrid competitive Lotka-Volterra system with Levy noise [J].

Wang, Sheng ;

Hu, Guixin ;

Wei, Tengda ;

Wang, Linshan .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2020, 540

[43] Stability in distribution of competitive Lotka-Volterra system with Markovian switching [J].

Hu, Guixin ;

Wang, Ke .

APPLIED MATHEMATICAL MODELLING, 2011, 35 (07) :3189-3200

[44] Optimal harvesting strategies for stochastic competitive Lotka-Volterra ecosystems [J].

Tran, Ky ;

Yin, George .

AUTOMATICA, 2015, 55 :236-246

[45] Circular Lotka-Volterra Competitive System with Discrete Time Delays [J].

Matsumoto, Akio ;

Szidarovszky, Ferenc .

NONLINEAR DYNAMICS PSYCHOLOGY AND LIFE SCIENCES, 2024, 28 (02) :185-213

[46] BOUNDEDNESS AND PERSISTENCE OF POPULATIONS IN ADVECTIVE LOTKA-VOLTERRA COMPETITION SYSTEM [J].

Wang, Qi ;

Song, Yang ;

Shao, Lingjie .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2018, 23 (06) :2245-2263

[47] Steady states of a diffusive Lotka-Volterra system with fear effects [J].

Ma, Li ;

Wang, Huatao ;

Li, Dong .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2023, 74 (03)

[48] ORBITAL LINEARIZATION IN THE QUADRATIC LOTKA-VOLTERRA SYSTEMS AROUND SINGULAR POINTS VIA LIE SYMMETRIES [J].

Gine, Jaume ;

Maza, Susanna .

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2009, 16 (04) :455-464

[49] New criteria on persistence in mean and extinction for stochastic competitive Lotka-Volterra systems with regime switching [J].

Liu, Lei ;

Shen, Yi .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 430 (01) :306-323

[50] Proper rational and analytic first integrals for asymmetric 3-dimensional Lotka-Volterra systems [J].

Llibre, Jaume ;

Valls, Claudia .

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2017, 24 (03) :393-404

← 1 2 3 4 5 →