On the stability of a Caputo fractional order predator-prey framework including Holling type-II functional response along with nonlinear harvesting in predator

Venkataiah, K.; Ramesh, K.

doi:10.1016/j.padiff.2024.100777

Partial Differential Equations in Applied Mathematics

2024

DOI: 10.1016/j.padiff.2024.100777

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On the stability of a Caputo fractional order predator-prey framework including Holling type-II functional response along with nonlinear harvesting in predator

K. Venkataiah,

K. Ramesh

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Cited by 2 publications

References 32 publications

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Fractional order modeling of ecological and epidemiological systems: ambiguities and challenges

Ghosh

2024

J Anal

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Fractional order modeling of ecological and epidemiological systems: ambiguities and challenges

Ghosh

2024

J Anal

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A Predator–Prey System with a Modified Leslie–Gower and Prey Stage Structure Scheme in Deterministic and Stochastic Environments

Wang,

Liu,

Zhao

2024

Mathematics

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The evolution of the population ecosystem is closely related to resources and the environment. Assuming that the environmental capacity of a predator population is positively correlated with the number of prey, and that the prey population has a sheltered effect, we investigated a predator–prey model with a juvenile–adult two-stage structure. The dynamical behaviour of the model was examined from two distinct environmental perspectives, deterministic and stochastic, respectively. For the deterministic model, the conditions for the existence of equilibrium points were obtained by comprehensive use of analytical and geometric methods, and the local and global asymptotic stability of each equilibrium point was discussed. For the stochastic system, the effect of noise intensity on the long-term dynamic behavior of the population was investigated. By constructing appropriate Lyapunov functions, the criteria that determined the extinction of the system and the ergodic stationary distribution were given. Finally, through concrete examples and numerical simulations, the understanding of the dynamic properties of the model was deepened. The results show that an improvement in the predator living environment would lead to the decrease in the prey population, while more prey shelters could lead to the decline or even extinction of predator populations.

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On the stability of a Caputo fractional order predator-prey framework including Holling type-II functional response along with nonlinear harvesting in predator

Cited by 2 publications

References 32 publications

Fractional order modeling of ecological and epidemiological systems: ambiguities and challenges

Fractional order modeling of ecological and epidemiological systems: ambiguities and challenges

A Predator–Prey System with a Modified Leslie–Gower and Prey Stage Structure Scheme in Deterministic and Stochastic Environments

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