A Dynamic Effect Of Infectious Disease On Prey Predator System And Harvesting Policy

Soni, Rachna

doi:10.21786/bbrc/11.2/6

Cited by 4 publications

(2 citation statements)

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“…Mathematical models are researched to better understand infectious disease behaviour and to forecast transmission dynamics for the purpose of regulating and planning measures [6][7][8]. Numerous model-based studies have effectively captured the worldwide dynamics of the corresponding infectious illness throughout the history of literature [9][10][11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

A multicompartment mathematical model to study the dynamic behaviour of COVID-19 using vaccination as control parameter

Kurmi

Chouhan

2022

Nonlinear Dyn

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To analyse novel coronavirus disease transmission in India, this article provides an extended SEIR multicompartment model using vaccination as a control parameter. The model considers eight classes of infection: susceptible (S), vaccinated (V), exposed (E), asymptomatic infected (A), symptomatic infected (I), isolated (J ), hospitalised (H), recovered (R). To begin, a mathematical study is performed to demonstrate the suggested model's uniform boundedness, epidemic equilibrium, and basic reproduction number. The findings indicate that if, R 0 < 1, the disease-free equilibrium is locally asymptotically stable; but, if, R 0 > 1 the equilibrium is unstable. Secondly, we examine the effect on those who have received vaccinations with what are deemed optimal values. The suggested model is numerically simulated using MATLAB 14.0, and the results confirm the capacity of the proposed model to provide an accurate forecast of the progress of the epidemic in India. Finally, we examine the impact of immunisation on COVID-19 dissemination.

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Section: Introductionmentioning

confidence: 99%

A multicompartment mathematical model to study the dynamic behaviour of COVID-19 using vaccination as control parameter

Kurmi

Chouhan

2022

Nonlinear Dyn

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“…Just a solitary host is mandatory for a parasitoid to finish improvement and frequently various parasitoids grow gregariously on a similar host. Moreover, numerous parasitoids will assault more than one host animal groups [6–8, 13–15, 24, 37, 43, 53, 60].…”

Section: Introductionmentioning

confidence: 99%

A study on fractional host–parasitoid population dynamical model to describe insect species

Kumar

Samet

et al. 2020

Numerical Methods Partial

124

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The parasitoid is a broad evolutionary association of hymenopteran insects which are well‐known as biological control agents. Parasites are different from predators because parasites only take resources from one host, whereas predators eat many preys. The preeminent target of this study is to present a fractional model of host–parasitoid population dynamical system through the Caputo operator. The host–parasitoid population dynamical model is a system of three dimensional coupled differential equations. This research also investigates the possibility for obtaining new chaotic behaviors with singular fractional operator and shows the chaotic behavior at different values of fractional order. Furthermore, two numerical schemes Adam–Bashforth–Moulton and new Toufik–Atangana mechanism were suggested to solve fractional host–parasitoid population numerically. Again, some numerical simulations are perform to assess the efficiency of the newly proposed method. Some attractive illustration is presented through graphically. We strongly believe that the proposed work will open various new doors of investigations toward modeling on parasitoid.

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The dynamics of an Omnivore-predator-prey model with harvesting and two different nonlinear functional responses

Majeed

Naji

Thirthar

2019

AIP Conference Proceedings

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A Dynamic Effect Of Infectious Disease On Prey Predator System And Harvesting Policy

Cited by 4 publications

References 0 publications

A multicompartment mathematical model to study the dynamic behaviour of COVID-19 using vaccination as control parameter

A multicompartment mathematical model to study the dynamic behaviour of COVID-19 using vaccination as control parameter

A study on fractional host–parasitoid population dynamical model to describe insect species

The dynamics of an Omnivore-predator-prey model with harvesting and two different nonlinear functional responses

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