Dynamics of stage-structure predator-prey systems under density-dependent effect and mortality

Ghosh, Bapan; Zhdanova, O. L.; Barman, Binandita; Frisman, E. Ya.

doi:10.1016/j.ecocom.2020.100812

Cited by 16 publications

(7 citation statements)

References 23 publications

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“…Another direction for future research would be to investigate under what conditions the hydra effect occurs in cannibalistic predator prey models, cf. [65,66].…”

Section: Discussionmentioning

confidence: 99%

A Stage-Structured Fishery Model for African Catfish and Nile Tilapia Feeding on Two Food Resources with Harvesting

Nankinga

Luboobi

Mugisha

et al. 2022

Journal of Applied Mathematics

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In this paper, a fishery model for African catfish and Nile tilapia is formulated. This model is used to compare financial profit and biomass outtakes in a two-species system versus single species systems. We consider a stage-structured fish population model consisting of the aforementioned fish species together with two food resources. The model dynamics include cannibalism, predator-prey, feeding, reproduction, maturation, development, mortality, and harvesting. We prove consistency of the model in the sense that the solutions will stay bounded and nonnegative over time. Conditions for local stability of fish-free equilibrium point are established. The simulation results reveal asymptotically stable solutions with coexistence of African catfish, Nile tilapia, and two food resources. The major conclusion from our findings is that fisheries should culture both species to maximize the biomass outtake and financial profit.

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“…Another direction for future research would be to investigate under what conditions the hydra effect occurs in cannibalistic predator prey models, cf. [65,66].…”

Section: Discussionmentioning

confidence: 99%

A Stage-Structured Fishery Model for African Catfish and Nile Tilapia Feeding on Two Food Resources with Harvesting

Nankinga

Luboobi

Mugisha

et al. 2022

Journal of Applied Mathematics

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“…We find that in some of our models, a hydra effect is present (see Conclusions and Discussion). The hydra effect was first noted by Ricker [22] and has later been incorporated in different models; see, e.g., Abrams [20], Adhikary et al [23], and Ghosh et al [24].…”

Section: Introductionmentioning

confidence: 99%

Properties in Stage-Structured Population Models with Deterministic and Stochastic Resource Growth

Aye

Carlsson

2022

Journal of Applied Mathematics

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Modelling population dynamics in ecological systems reveals properties that are difficult to find by empirical means, such as the probability that a population will go extinct when it is exposed to harvesting. To study these properties, we use an aquatic ecological system containing one fish species and an underlying resource as our models. In particular, we study a class of stage-structured population systems with and without starvation. In these models, we study the resilience, the recovery potential, and the probability of extinction and show how these properties are affected by different harvesting rates, both in a deterministic and stochastic setting. In the stochastic setting, we develop methods for deriving estimates of these properties. We estimate the expected outcome of emergent population properties in our models, as well as measures of dispersion. In particular, two different approaches for estimating the probability of extinction are developed. We also construct a method to determine the recovery potential of a species that is introduced in a virgin environment.

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“…A model dynamic that supports the existence of predators is something model mathematics in which the describe dynamics cycle the growth population of bird with threat of predators (B. Ghosh et al, 2020;Rana et al, 2022). In this study, Bali starlings or common eggs were divided into two groups as Bali starlings or wild and captive eggs.…”

Section: A Introductionmentioning

confidence: 99%

Modeling and Analysis of the Dynamic Model of Bali Starling (Leucopsar Rothschildi) Breeding in West Bali National Park

Gandhiadi,

Jayanegara,

Dharmawan

2023

JTAM

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Antara, the official news agency of the state, reported a record-breaking population of 303 Bali starlings in the West Bali National Park (WBNP) in June 2020, attributing this achievement to the park's captive reproduction initiative. This paper presents a study on the dynamic equilibrium of Bali Starlings and proposes a mathematical model for analyzing this dynamic. The research also examines parameters ensuring the stability of the captive breeding model for Bali starlings in WBNP in a sustainable manner. The Bali starlings are categorized into two groups: those in the wild and those in captive breeding, with hatched eggs in captivity included in the latter. The dynamic model is analyzed for system stability around the endemic critical point using the Routh-Hurwitz stability criteria. As an illustrative example, a simulation is conducted to assess the model's suitability under real field conditions. The model analysis reveals that the existence of an endemic critical point can be maintained if the percentage of stolen Bali starlings or eggs reintroduced to the wild is less than the difference between the percentage of Bali starlings laying eggs and the population growth rate in WBNP. Furthermore, the stability of the endemic critical point is confirmed as long as the percentage of Bali starlings laying eggs exceeds the population growth rate. This dynamic model offers a valuable tool for evaluating the sustainability of Bali starling breeding programs and optimizing the benefits associated with their conservation efforts.

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Dynamics of stage-structure predator-prey systems under density-dependent effect and mortality

Cited by 16 publications

References 23 publications

A Stage-Structured Fishery Model for African Catfish and Nile Tilapia Feeding on Two Food Resources with Harvesting

A Stage-Structured Fishery Model for African Catfish and Nile Tilapia Feeding on Two Food Resources with Harvesting

Properties in Stage-Structured Population Models with Deterministic and Stochastic Resource Growth

Modeling and Analysis of the Dynamic Model of Bali Starling (Leucopsar Rothschildi) Breeding in West Bali National Park

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