Ecotourism and fishing in a common ground of two interacting species

Paul, Prosenjit; Kar, Tapan Kumar; Ghorai, Abhijit

doi:10.1016/j.ecolmodel.2016.02.010

Cited by 16 publications

(6 citation statements)

References 19 publications

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“…Fifth, looking at the problem from the point of view of economics, we are motivated to study optimal harvesting strategies of the herbivore population in the present modeling framework and/ or relevant modifications using a time-discounting policy to handle the question of long-term benefits. Similar problems in the optimal management of natural resources, which are directly related to a sustainable development, have been studied extensively by many authors (see, e.g., Dubey & Patra, 2013;Kar, 2003;Leung, 1995;Paul et al, 2016). This type of study leads to optimal control problems that are typically investigated by using Pontryagin's maximal principle (Pontryagin, Boltyanskii, Gamkrelidze, & Mishchenko, 1962).…”

Section: Possible Extensionsmentioning

confidence: 99%

“…Last, but not least in the phase of a monotonically increasing harvesting rate, the steepness of the harvesting rate has a maximal 2 In addition to terrestrial populations, modeling of this kind has also examined marine ecosystems. The interactions between different tropical levels (krill/ whales), and the consequences for fishery management have thoroughly been studied over the past decades (Beddington & May, 1980;Brown, Berger, & Ikiara, 2005;Flaaten, 1991;Ghosh & Kar, 2013;Ghosh, Kar, & Legovic, 2014a;Hogarth, Norbury, Cunning, & Summers, 1992;Huang, Gong, & Ruan, 2013;May, Beddington, Clark, Holt, & Laws, 1979;Paul, Kar, & Ghorai, 2016). Models of the Lotka-Volterra type are also applied in other settings, for example, Vázquez and Watt (2011). slope.…”

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confidence: 99%

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Pasture–livestock dynamics with density‐dependent harvest and changing environment

Bergland

Wyller

Burlakov

2019

Natural Resource Modeling

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We model pasture–livestock interactions by means of a predator–prey model, with the biomass vegetation as prey and the herbivores as predators. The harvesting rate is a sigmoidal function of the livestock density. We identify the necessary biological and harvest conditions for different equilibria of this model to exist. The system possesses no interior equilibrium points for the mortality rate exceeding a certain threshold. For the regime of low and moderate values of the mortality rate and a high consumption rate per animal, a unique finite and asymptotically stable state exists. We incorporate the effect of forage resource deterioration over time, causing extra decrease in the herbivore population and in the biomass density. We also include the effect of fluctuations in the availability of fodder by allowing for a seasonal periodic variation in the conversion efficiency. This results in extra oscillations superimposed on the general trends of the unperturbed system. Recommendations for Resource Managers Depending on biological and harvest conditions, the system possesses up to three equilibrium states. Forage resource deterioration over time causes an extra decrease in the herbivore population and in the biomass density. A seasonal periodic variation in the conversion efficiency results in oscillations mainly in the herbivore density superimposed on the general trends of the unperturbed system.

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Section: Possible Extensionsmentioning

confidence: 99%

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confidence: 99%

Pasture–livestock dynamics with density‐dependent harvest and changing environment

Bergland

Wyller

Burlakov

2019

Natural Resource Modeling

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“…Therefore, a scientific evaluation of the integrated ecological-economic issues is vital for the maximum economic benefit while preserving aquatic resources. Different theoretical models are studied to explore the effect of tourism on an open-access fishery [35][36][37][38]. Some other models [39][40][41][42][43] consider the optimal fishing tax to restrict the over-harvesting of renewable resources.…”

Section: Empirical Examplementioning

confidence: 99%

“…Different theoretical models are studied to explore the effect of tourism on an open‐access fishery [35–38]. Some other models [39–43] consider the optimal fishing tax to restrict the over‐harvesting of renewable resources.…”

Section: Introductionmentioning

confidence: 99%

An ecological‐economic fishery model: Maximizing the societal benefit through an integrated approach of fishing and ecotourism

Sarkar

Bhattacharya

Bairagi

2023

Math Methods in App Sciences

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One of the essential tasks of the modern fishery is to integrate fishery‐based tourism with it as a part of sustainable development. Here, we propose and study a two‐species fishery model where the ecological and economic concepts are integrated. The objectives are to demonstrate the effect of fishing tax and tourist entrance fees to stabilize fishery dynamics and maximize revenue generation. For this, we consider a predator–prey fishery model coupled with dynamic harvesting and time‐dependent fish price variation. The prey fish is commercially harvested, and the predatory fish is used for recreation purposes of the visitors with an entry fee. A fishing tax is levied on the fishers to restrict the overfishing of this renewable resource. We provide the local and global stability conditions of different equilibrium points of the system and unveil the broader dynamics through bifurcation analysis. Pontryagin's maximum principle shows the existence of an optimal fishing tax that maximizes overall revenue generation.

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“…Marine reserve can be introduced in order to protect the fisheries from scientific uncertainty or wrong stock assessments or stock collapse [20]. Marine reserves also have an economic impact on marine ecotourism in terms of non-extractive re-creative activities [1,28]. But there is a huge controversy for the right planning of marine reserve.…”

Section: Introductionmentioning

confidence: 99%

Feedback control and its impact on generalist predator–prey system with prey harvesting

Das¹,

Kar²

2019

NAMC

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This article examines the effectiveness of feedback control as a management policy on a generalist predator–prey system with prey harvesting. We discuss the result of implementing feedback control with respect to prey and predator separately. This paper also depicts the effect of exploitations up to maximum sustainable yield (MSY). We observe that with a constant fishing effort MSY policy is a sustainable management policy to protect both the species. However, further increase of fishing effort may cause the extinction of prey species. But considering feedback control of fishing effort may restrict the extinction of prey species. When fishing effort is controlled in terms of prey density, the extinction of prey population can be avoided. In this case, there may be coexistences of prey, predator and fishery or extinction of fishery. But when fishing effort is controlled by predator density, it is difficult to manage the coexistences of prey, predator and fishery.

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Ecotourism and fishing in a common ground of two interacting species

Cited by 16 publications

References 19 publications

Pasture–livestock dynamics with density‐dependent harvest and changing environment

Pasture–livestock dynamics with density‐dependent harvest and changing environment

An ecological‐economic fishery model: Maximizing the societal benefit through an integrated approach of fishing and ecotourism

Feedback control and its impact on generalist predator–prey system with prey harvesting

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