Mr. Tiancai Liao | Natural Science Research General Project of Higher Education Institutions in Jiangsu Province, China
Dr. Tiancai Liao is a researcher in biomathematics whose work focuses on the mathematical modeling of complex ecological systems. His research integrates deterministic and stochastic differential equation frameworks to study the dynamic behavior of aquatic ecosystems, particularly phytoplankton–zooplankton interactions and coral reef dynamics. He investigates how environmental factors such as temperature variation, salinity changes, acid-base balance, and global warming influence ecosystem stability and biodiversity. By incorporating size-dependent mechanisms and stochastic perturbations, his studies reveal intricate patterns of ecological oscillations, bifurcations, and chaotic dynamics in planktonic populations. Dr. Liao has contributed numerous papers to international journals including Chaos, Solitons & Fractals, Chinese Journal of Physics, Mathematical Methods in the Applied Sciences, and Journal of Applied Mathematics and Computing. His research also explores the role of Allee effects, time delays, and noise-induced transitions in shaping population dynamics. He applies advanced mathematical tools to understand ecological resilience and critical thresholds under environmental stress. His theoretical findings provide a framework for predicting algal bloom formation and coral reef degradation. Dr. Liao’s interdisciplinary approach bridges mathematics, biology, and environmental science. His studies enhance understanding of nonlinear ecological behaviors and stochastic processes in natural systems. Through his modeling work, he offers valuable insights into sustainable management of aquatic ecosystems.
Profiles: Orcid
Featured Publications
Liao, T. (2024). Dynamical complexity driven by water temperature in a size-dependent phytoplankton–zooplankton model with environmental variability. Chinese Journal of Physics, 87, Article 106225.
Liao, T. (2024). The impact of temperature variation on the algae–zooplankton dynamics with size-selective disturbance. Chaos, Solitons & Fractals, 181, Article 114615.
Liao, T., & Ruan, X. (2024). Deterministic and stochastic analysis of a size-dependent phytoplankton–zooplankton model with additive Allee effect. Journal of Biological Systems, 32(1), Article 2450011.
Liao, T. (2024). Stochastic dynamics of a plankton model with zooplankton selectivity and nutritional value of phytoplankton. Journal of Applied Mathematics and Computing, 70(1–2), 185–202.
Liao, T. (2022). Dynamics of interacting plankton induced by plankton body size in deterministic and stochastic environments. Chinese Journal of Physics, 77, 1533–1548.
Liao, T. (2022). The impact of plankton body size on phytoplankton–zooplankton dynamics in the absence and presence of stochastic environmental fluctuation. Chaos, Solitons & Fractals, 155, Article 111617.
Liao, T. (2020). Impact of noise in a phytoplankton–zooplankton system. Journal of Applied Analysis & Computation, 10(6), 2563–2578.
Liao, T. (2020). Dynamical analysis of a stochastic toxin-producing phytoplankton–fish system with harvesting. Advances in Difference Equations, 2020(1), Article 657.