Hopf-transcritical bifurcation in toxic phytoplankton–zooplankton model with delay
Journal of Mathematical Analysis and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yong Wang, Hongbin Wang, Weihua Jiang
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Complicate dynamical properties of a discrete slow-fast predator-prey model with ratio-dependent functional response [PDF]
Scientific Reports, 2023 Using a semidiscretization method, we derive in this paper a discrete slow-fast predator-prey system with ratio-dependent functional response. First of all, a detailed study for the local stability of fixed points of the system is obtained by invoking an
Xianyi Li, Jiange Dong
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Multivariate signals of population collapse in a high‐throughput ecological experiment [PDF]
Ecology, Volume 106, Issue 9, September 2025.Abstract Anticipating population declines is a crucial goal of conservation ecology. Recent conceptual work suggests that populations facing growing stressors should exhibit sequential shifts in behavior, morphology, and abundance before declining to extinction.
Francesco Cerini +4 more
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Stability switching at transcritical bifurcations of solitary waves in generalized nonlinear Schrödinger equations [PDF]
Physics Letters A, 2013 Linear stability of solitary waves near transcritical bifurcations is analyzed for the generalized nonlinear Schroedinger equations with arbitrary forms of nonlinearity and external potentials in arbitrary spatial dimensions. Bifurcation of linear-stability eigenvalues associated with this transcritical bifurcation is analytically calculated.
Jianke Yang
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International Journal of Bifurcation and ChaosIn this paper, we investigate the impact of functional shifts in a time-discrete cross-catalytic system. We use the hypercycle model considering that one of the species shifts from a cooperator to a degrader. At the bifurcation caused by this functional shift, an invariant curve collapses to a point [Formula: see text] while, simultaneously, two fixed
Ernest Fontich +3 more
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NONLINEAR DYNAMICS AND LIMITING REAGENT: A TRANSCRITICAL BIFURCATION EXAMPLE
Química Nova, 2014 Diego J. R. da Silva
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Exploring chaos and bifurcation in a discrete prey–predator based on coupled logistic map [PDF]
Scientific ReportsThis research paper investigates discrete predator-prey dynamics with two logistic maps. The study extensively examines various aspects of the system’s behavior.
Mohammed O. Al-Kaff +3 more
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Dynamics of a Discrete Leslie–Gower Model with Harvesting and Holling-II Functional Response
Mathematics, 2023 Recently, Christian Cortés García proposed and studied a continuous modified Leslie–Gower model with harvesting and alternative food for predator and Holling-II functional response, and proved that the model undergoes transcritical bifurcation, saddle ...
Chen Zhang, Xianyi Li
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Dynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect
Mathematical Biosciences and Engineering, 2021 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.
Huanyi Liu +5 more
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More complex dynamics in a discrete prey-predator model with the Allee effect in prey
Mathematical Biosciences and Engineering, 2023 In this paper, we revisit a discrete prey-predator model with the Allee effect in prey to find its more complex dynamical properties. After pointing out and correcting those known errors for the local stability of the unique positive fixed point $ E_*, $
Mianjian Ruan, Xianyi Li, Bo Sun
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