|Title||PREY-PREDATOR TRIDIAGONAL 4-DIMENSIONAL MODELS|
|Publication Type||Journal Article|
|Year of Publication||2019|
|Authors||ANTONOV, ANDREY, NENOV, SVETOSLAV, TSVETKOV, TSVETELIN|
|AMS||34C05, 34C07, 34C40|
The prey-predator Lotka-Volterra models are some of the most popular mathematical models in biology and chemistry and they are in fact the first abstract models to analyze cooperativity, oscillatory behavior, and spaces synchronization at large scale of biochemistry, biomolecular, and medical interactions models.
In the article we will consider 4-dimensional tridiagonal Lotka-Volterra models. We determine some criteria for existence of first integrals of the systems.
We also discuss some differences of some properties of tridiagonal Lotka-Volterra models based on the parity of dimensions.
|Full Text|| |
 Andrey Antonov, Svetoslav Nenov, Tzvetelin Tzvetkov, Prey-predator tridiagonal Lotka-Volterra models, International Journal of Differential Equations and Applications, 17, No. 1 (2018), 45-59, doi: 10.12732/ijdea.v17i1.5727.