The European Physical Journal Plus, Journal Year: 2024, Volume and Issue: 139(7)
Published: July 22, 2024
Language: Английский
The European Physical Journal Plus, Journal Year: 2024, Volume and Issue: 139(7)
Published: July 22, 2024
Language: Английский
Mathematical Methods in the Applied Sciences, Journal Year: 2025, Volume and Issue: unknown
Published: May 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.
Language: Английский
Citations
0Chaos Solitons & Fractals, Journal Year: 2023, Volume and Issue: 175, P. 113995 - 113995
Published: Sept. 6, 2023
Language: Английский
Citations
5Qualitative Theory of Dynamical Systems, Journal Year: 2023, Volume and Issue: 22(4)
Published: Aug. 3, 2023
Language: Английский
Citations
1The European Physical Journal Plus, Journal Year: 2024, Volume and Issue: 139(7)
Published: July 22, 2024
Language: Английский
Citations
0