Disease control prey–predator model incorporating prey refuge under fuzzy uncertainty

Das, Subhashis; Mahato, Prasenjit; Mahato, Sanat Kumar

doi:10.1007/s40808-020-00892-w

Cited by 10 publications

(3 citation statements)

References 37 publications

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“…The majority of the species are highly sensitive to changes in habitat quality (Smith et al,2007;Silva et al,2010). Besides, these insects also play an important role as prey-predator of natural ecosystems (Das et al,2021). The Dragonflies are used for food and medical resources at a local scale (Kalkman et al 2008;Shantibala et al,2012).…”

Section: Introductionmentioning

confidence: 99%

Species composition and diversity of Odonata fauna in Cauvery River of Mettur dam, Salem district, Tamil Nadu, India

Anbalagan,

Ishwarya

2024

Entomon

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Odonata diversity study was carried out from September 2020 to October 2022 in the Mettur Dam, Salem District. Among the total 40 different species, 27 species were in Anisoptera (dragonflies) and 13 species in Zygoptera (damselflies) under five families. Libellulidae was the largest family recorded (16 species), followed by Coenagrionidae (11), Aeshnidae (2), Lestidae (2) and Gomphidae (1). A migratory species, Pantala flavescens, was the most dominant in numbers throughout the year. Maximum number of individuals was found during September 2020 to September 2021. Odonata diversity was higher in the first season of 2021 than in next second season. Both dragonflies and damselflies mainly used wetlands of the dam ecosystem and agricultural fields rather than shrubland.

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Section: Introductionmentioning

confidence: 99%

Species composition and diversity of Odonata fauna in Cauvery River of Mettur dam, Salem district, Tamil Nadu, India

Anbalagan,

Ishwarya

2024

Entomon

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“…Researchers paid attention to develop the epidemic models in uncertain environments (Pontryagin et al 1962 ; Panja et al 2017 ; Mahata et al 2018 ; Nandi et al 2018 ; Das et al 2020a ). Das et al ( 2020b ) explained disease control eco-epidemic model with prey refuge under fuzzy uncertainty.…”

Section: Introductionmentioning

confidence: 99%

An epidemic model through information-induced vaccination and treatment under fuzzy impreciseness

Mahato

Das

Mahato

2021

Model. Earth Syst. Environ.

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In this work, we propose a nonlinear susceptible ( S ), vaccinated ( V ), infective ( I ), recovered ( R ), information level ( U ) (SVIRUS) model for the dynamical behavior of the contagious disease in human beings. We mainly consider the spread of information during the course of epidemic in the population. Different rate equations describe the dynamics of the information. We have developed the proposed model in crisp and fuzzy environments. In the fuzzy model, to describe the uncertainty prevailed in the dynamics, all the parameters are taken as triangular fuzzy numbers. Using graded mean integration value (GMIV) method, the fuzzy model is transformed into defuzzified model to represent the solutions avoiding the difficulties. The positivity and the boundedness of the crisp model are discussed elaborately and also the equilibrium analysis is accomplished. The stability analysis for both the infection free and the infected equilibrium are established for the crisp model. Application of optimal control of the crisp system is explored. Using Pontryagin’s Maximum Principle, the optimal control is explained. The effect of vaccination is analyzed which leads the model to be complex in nature. The effect of saturation constant for information is described for the crisp model and also the effects of weight constants on control policy are discussed. Finally, it is concluded that the treatment is more fruitful and information related vaccination is more effective during the course of epidemic.

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“…Bera et al [34] investigated the dynamical behavior of a tritrophic food chain model with a herd of prey. The connection between medium predator and super-predator is thought to be regulated by Holling type-II functional response, according to Das et al [35]. The last approach, Prey-Predator systems, assumes that the illness is spread through both prey and predator groups [36].…”

Section: Introductionmentioning

confidence: 99%

An Eco-Epidemiological Model Incorporating Harvesting Factors

2021

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The biological system relies heavily on the interaction between prey and predator. Infections may spread from prey to predators or vice versa. This study proposes a virus-controlled prey-predator system with a Crowley–Martin functional response in the prey and an SI-type in the prey. A prey-predator model in which the predator uses both susceptible and sick prey is used to investigate the influence of harvesting parameters on the formation of dynamical fluctuations and stability at the interior equilibrium point. In the analytical section, we outlined the current circumstances for all possible equilibria. The stability of the system has also been explored, and the required conditions for the model’s stability at the equilibrium point have been found. In addition, we give numerical verification for our analytical findings with the help of graphical illustrations.

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Disease control prey–predator model incorporating prey refuge under fuzzy uncertainty

Cited by 10 publications

References 37 publications

Species composition and diversity of Odonata fauna in Cauvery River of Mettur dam, Salem district, Tamil Nadu, India

Species composition and diversity of Odonata fauna in Cauvery River of Mettur dam, Salem district, Tamil Nadu, India

An epidemic model through information-induced vaccination and treatment under fuzzy impreciseness

An Eco-Epidemiological Model Incorporating Harvesting Factors

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