Predator–prey dynamics with intraspecific competition and an Allee effect in the predator population

Bodine, Erin; Yust, Anne

doi:10.1080/23737867.2017.1282843

Cited by 4 publications

(2 citation statements)

References 32 publications

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“…In addition, we also assume that the predators exhibit intraspecific competition. We capture this competition in similar lines with [27,28]. Accordingly, the system (1) gets transformed to the following system.…”

Section: Stochastic Analysis the Stochastic Model Formulationmentioning

confidence: 99%

Stochastic time-optimal control and sensitivity studies for additional food provided prey-predator systems involving Holling type-IV functional response

Prakash

Vamsi

2023

Front. Appl. Math. Stat.

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In this study we consider an additional food provided prey-predator model exhibiting Holling type-IV functional response incorporating the combined effects of both the continuous white noise and discontinuous Lévy noise. We prove the existence and uniqueness of global positive solutions for the proposed model. We perform the stochastic sensitivity analysis for each of the parameters in a chosen range. Later we do the time optimal control studies with respect quality and quantity of additional food as control variables. Making use of the arrow condition of the sufficient stochastic maximum principle, we characterize the optimal quality of additional food and optimal quantity of additional food. We then perform the sensitivity of these control variables with respect to each of the model parameters. Numerical results are given to illustrate the theoretical findings with applications in biological conservation and pest management. At the end we briefly study the influence of the noise on the dynamics of the model.

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Section: Stochastic Analysis the Stochastic Model Formulationmentioning

confidence: 99%

Stochastic time-optimal control and sensitivity studies for additional food provided prey-predator systems involving Holling type-IV functional response

Prakash

Vamsi

2023

Front. Appl. Math. Stat.

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“…where ω the death rate of juvenile predator due to competition. The interspecific competition population is succesfully applied in several model as given in [8,[33][34][35]. In several cases, human intervention in the ecosystem also affects the existence of a population.…”

Section: Model Formulationmentioning

confidence: 99%

A Fractional-Order Predator-Prey Model with Age Structure on Predator and Nonlinear Harvesting on Prey

Panigoro¹,

Resmawan

Sidik

et al. 2022

Jambura J. Math

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In this manuscript, the dynamics of a fractional-order predator-prey model with age structure on predator and nonlinear harvesting on prey are studied. The Caputo fractional-order derivative is used as the operator of the model by considering its capability to explain the present state as the impact of all of the previous conditions. Three biological equilibrium points are successfully identified including their existing properties. The local dynamical behaviors around each equilibrium point are investigated by utilizing the Matignon condition along with the linearization process. The numerical simulations are demonstrated not only to show the local stability which confirms all of the previous analytical results but also to show the existence of periodic signal as the impact of the occurrence of Hopf bifurcation.

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Qualitative analysis of additional food provided predator–prey system with anti-predator behaviour in prey

Prasad

2019

Nonlinear Dyn

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Predator–prey dynamics with intraspecific competition and an Allee effect in the predator population

Cited by 4 publications

References 32 publications

Stochastic time-optimal control and sensitivity studies for additional food provided prey-predator systems involving Holling type-IV functional response

Stochastic time-optimal control and sensitivity studies for additional food provided prey-predator systems involving Holling type-IV functional response

A Fractional-Order Predator-Prey Model with Age Structure on Predator and Nonlinear Harvesting on Prey

Qualitative analysis of additional food provided predator–prey system with anti-predator behaviour in prey

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