The European Physical Journal Plus, Год журнала: 2024, Номер 139(7)
Опубликована: Июль 22, 2024
Язык: Английский
The European Physical Journal Plus, Год журнала: 2024, Номер 139(7)
Опубликована: Июль 22, 2024
Язык: Английский
Mathematical Methods in the Applied Sciences, Год журнала: 2025, Номер unknown
Опубликована: Май 6, 2025
ABSTRACT In this paper, on the basis of theories and methods ecology, a deterministic phytoplankton–zooplankton (PZ) model as well its stochastic differential equation version, which takes into account synergistic effect salinity pH, is established. A key advantage considering pH effects that it can make dynamic behaviors PZ models more realistic, fundamentally different from current related researches. The main purpose paper to explore how affect growth dynamics phytoplankton in disturbance environments. For model, we existence possible equilibrium points, local global stability, Hopf bifurcation. study properties persistence mean, extinction, unique ergodic stationary distribution. addition, critical point often overlooked most studies. Ecologically, via numerical simulations, find have great influence It worth emphasizing increase downstream destabilize dynamics, while decrease able stabilize dynamics. Additionally, revealed an or upstream not conducive zooplankton, but trigger occurrence blooms when value middle range. These results provide new insights understanding complexity models.
Язык: Английский
Процитировано
0Chaos Solitons & Fractals, Год журнала: 2023, Номер 175, С. 113995 - 113995
Опубликована: Сен. 6, 2023
Язык: Английский
Процитировано
5Qualitative Theory of Dynamical Systems, Год журнала: 2023, Номер 22(4)
Опубликована: Авг. 3, 2023
Язык: Английский
Процитировано
1The European Physical Journal Plus, Год журнала: 2024, Номер 139(7)
Опубликована: Июль 22, 2024
Язык: Английский
Процитировано
0