Dynamic behavior analysis of a feedback control predator-prey model with exponential fear effect and Hassell-Varley functional response

H Li, Y Tian - Journal of the Franklin Institute, 2023 - Elsevier
Considering that predator-induced fear effects affect the reproductive ability of the prey, as
well as predator-predator interference during predation, a predator-prey model with …

[PDF][PDF] A fishery predator-prey model with anti-predator behavior and complex dynamics induced by weighted fishing strategies

Y Tian, Y Gao, K Sun - Math. Biosci. Eng, 2023 - aimspress.com
In this work, a fishery predator-prey model with anti-predator behavior is presented
according to the anti-predator phenomenon in nature. On the basis of this model, a capture …

The Study of a Predator‐Prey Model with Fear Effect Based on State‐Dependent Harvesting Strategy

Y Tian, HM Li - Complexity, 2022 - Wiley Online Library
In presence of predator population, the prey population may significantly change their
behavior. Fear for predator population enhances the survival probability of prey population …

Multiple bifurcations in a predator–prey system of modified Holling and Leslie type with double Allee effect and nonlinear harvesting

Z Shang, Y Qiao - Mathematics and Computers in Simulation, 2023 - Elsevier
In this paper, a modified Leslie-type predator–prey model with simplified Holling type IV
functional response is established, in which double Allee effect on prey and nonlinear prey …

Complex dynamics of a fishery model: Impact of the triple effects of fear, cooperative hunting and intermittent harvesting

Y Tian, H Li, K Sun - Mathematics and Computers in Simulation, 2024 - Elsevier
In natural ecosystems, predators often live in groups and have evolved cooperative hunting
behaviors over time. This cooperative behavior on the one hand increases the success rate …

[HTML][HTML] Dynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect

H Liu, H Yu, C Dai, Z Ma, Q Wang… - Mathematical Biosciences …, 2021 - aimspress.com
In this paper, in order to explore the inhibition mechanism of algicidal bacteria on algae, we
constructed an aquatic amensalism model with non-selective harvesting and Allee effect …

Study on dynamic behavior of two fishery harvesting models: effects of variable prey refuge and imprecise biological parameters

G Hua, T Yuan, S Kaibiao, S Xinyu - Journal of Applied Mathematics and …, 2023 - Springer
In natural systems, the change of ecological environment can indirectly affect some key
biological parameters of species and their activity patterns, among which the imprecision of …

DYNAMICS IN A FRACTIONAL ORDER PREDATOR–PREY MODEL INVOLVING MICHAELIS–MENTEN-TYPE FUNCTIONAL RESPONSE AND BOTH UNEQUAL …

P Li, R Gao, C Xu, Y Lu, Y Shang - Fractals, 2023 - World Scientific
The interrelationship between predator populations and prey populations is a central
problem in biology and mathematics. Setting up appropriate predator–prey models to …

Effect of fear and non-linear predator harvesting on a predator–prey system in presence of environmental variability

B Paul, GC Sikdar, U Ghosh - Mathematics and Computers in Simulation, 2025 - Elsevier
In this paper, we have proposed and analyzed a predator–prey system introducing the cost
of predation fear into the prey reproduction with Holling type-II functional response in the …

Complex dynamics of two prey–predator harvesting models with prey refuge and interval‐valued imprecise parameters

Y Tian, H Guo, K Sun - Mathematical Methods in the Applied …, 2023 - Wiley Online Library
In view of the phenomena that species in nature are affected by the complexity of the
ecosystem, some key biological parameters have certain inaccuracy or uncertainty and part …