Destabilization of a seasonal synchronization in a population model with a seasonally varying Allee effect

Přibylová, Lenka; Sen, Deeptajyoti; Eclerová, Veronika

doi:10.1016/j.amc.2023.128331

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Cited by 3 publications

References 27 publications

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Synchronization of time-delay dynamical networks via hybrid delayed impulses

Zheng,

Zhu,

2025

Neural Networks

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Synchronization of time-delay dynamical networks via hybrid delayed impulses

Zheng,

Zhu,

2025

Neural Networks

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Exploring Synchronization Mechanisms via Bifurcation Analysis – A Unified Approach Across Neuronal, Ecological and Physical Realms

Přibylová

2023

2023 International Conference on Applied Mathematics &Amp; Computer Science (ICAMCS)

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Dynamics of Delayed Autonomous Model With Carry-Over Effects, Including Prey Harvesting

MAHENDRA,

PANDEY

2024

J. Biol. Syst.

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This paper proposes a two-dimensional modified Leslie–Gower predator–prey model with carry-over effects, fear, prey protection and additional food, including prey harvesting. For this, it assumes the carry-over effect with delay incorporated in the birth rate of the prey population and gestation delay in Leslie–Gower term of a predator, and supposes that the predator consumes the prey according to Holling type II functional response. This dynamical system is split into two groups, namely non-delayed and delayed systems, respectively. In the non-delayed system, first, we discuss positivity, boundedness solutions, and the existence of equilibria, especially finding the coexistence of interior equilibrium points under certain conditions. After that, local and global stabilities are systematically analyzed. In addition, we obtain the conditions of Hopf-bifurcation in terms of the growth rate of prey species, prey protection and preference rate of predator for the non-delayed system. Whereas in the delayed system, both the delays have an essential role in governing the dynamical system discussed in three cases, and each case found the Hopf-bifurcation parameters for which the system changes stability behavior into instability. At last, the numerical simulations have been carried out to verify the theoretical findings.

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Destabilization of a seasonal synchronization in a population model with a seasonally varying Allee effect

Cited by 3 publications

References 27 publications

Synchronization of time-delay dynamical networks via hybrid delayed impulses

Synchronization of time-delay dynamical networks via hybrid delayed impulses

Exploring Synchronization Mechanisms via Bifurcation Analysis – A Unified Approach Across Neuronal, Ecological and Physical Realms

Dynamics of Delayed Autonomous Model With Carry-Over Effects, Including Prey Harvesting

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