Bistability and tristability in a deterministic prey–predator model: Transitions and emergent patterns in its stochastic counterpart

N Sk, B Mondal, AA Thirthar, MA Alqudah… - Chaos, Solitons & …, 2023 - Elsevier
The paper focuses on studying the global dynamics of a simple prey–predator model. The
model incorporates cooperative hunting behavior among predators and takes into account …

Analysis of stochastic bifurcations in the eco-epidemiological oscillatory model with weak Allee effect

I Bashkirtseva, T Perevalova - International Journal of Bifurcation …, 2022 - World Scientific
An eco-epidemiological model of dynamical interaction of susceptible prey, infected prey,
and predator is studied in the presence of the Allee effect and random disturbances. A …

How random immigration impacts order–chaos transformations and extinction in population dynamics

L Ryashko, I Tsvetkov - The European Physical Journal Special Topics, 2024 - Springer
Motivated by important ecological applications, we study how immigration and noise can
drastically change patterns of behavior of population systems. We explore this problem on …

Analysis of regular and chaotic dynamics in a stochastic eco-epidemiological model

I Bashkirtseva, L Ryashko, T Ryazanova - Chaos, Solitons & Fractals, 2020 - Elsevier
An eco-epidemiological system with disease in the prey species is studied. We consider 3D
dynamical SIP-model of interacting populations of susceptible (S) prey, infected (I) prey, and …

Stochastic Bifurcations and Multistage Order–Chaos Transitions in a 4D Eco-Epidemiological Model

L Ryashko, T Perevalova… - International Journal of …, 2023 - World Scientific
A tritrophic “prey-intermediate predator-top predator” population system with disease in the
intermediate predator is considered. For this 4D-model, the bifurcation analysis is …

Noise-induced shifts in dynamics of multi-rhythmic population SIP-model

I Bashkirtseva, T Perevalova, L Ryashko - Chaos, Solitons & Fractals, 2020 - Elsevier
Motivated by important ecological applications, we investigate a three-dimensional
population system describing mutual dynamics of predator (P) and prey divided into …

[PDF][PDF] Stochastic analysis of survival and sensitivity in a competition model influenced by toxins under a fluctuating environment

Y Ma, X Yu - AIMS Mathematics, 2024 - aimspress.com
This paper proposed a stochastic toxin-dependent competition model to investigate the
impact of environmental noise on species interaction dynamics. First, a survival analysis was …

Stochastic destruction of the oscillatory regime of coexistence of population in the “predator-two preys” model

EP Abramova, TV Perevalova - AIP Conference Proceedings, 2020 - pubs.aip.org
The paper studies dynamic model of interacting populations of the type “predator-two preys”.
A detailed analysis of the oscillation regime is carried out. Under the conditions of the …

Влияние случайного воздействия на равновесные режимы модели популяционной динамики

ЕП Абрамова, ТВ Перевалова - Известия Института математики …, 2020 - cyberleninka.ru
В работе изучается динамическая модель взаимодействующих популяций по типу
«хищник-две жертвы». Проводится детальный параметрический анализ равновесных …

Influence of random effects on the equilibrium modes in the population dynamics model

EP Abramova, TV Perevalova - 2020 - elar.urfu.ru
In the paper, we study a dynamic model of interacting populations of the type “predator–two
prey”. A detailed parametric analysis of the equilibrium modes arising in the system is …