Historical behavior for a class of Lotka–Volterra systems
Uygun JamilovAkfa University Tashkent UzbekistanFarrukh MukhamedovDepartment of Mathematical Sciences, College of Science United Arab Emirates University Abu Dhabi UAE
ABI
Abstract
It is well‐known that discrete‐time Kolmogorov systems play important role in studying predator‐prey models with interactions. A topic of this paper deals with stochastic discrete‐time Kolmogorov systems which are called Lotka–Volterra operators. In the present paper, we provide a new class of LV operators, and establish that each of operator from this class has historical behavior, that is, their time averages diverge.
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