An Eco-Epidemic Dynamics with Incubation Delay of CDV on Amur Tiger

Gupta, Jyoti; Dhar, Joydip; Sinha, Poonam

doi:10.1007/978-981-16-5952-2_22

Advances in Intelligent Systems and Computing

2021

DOI: 10.1007/978-981-16-5952-2_22

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An Eco-Epidemic Dynamics with Incubation Delay of CDV on Amur Tiger

Jyoti Gupta

Joydip Dhar

Poonam Sinha

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2023

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“…There exists a large volume of literature on ecological models with time delays present in the governing equations. Time-delayed eco-epidemiological models have been investigated in [25,38,12,4,13,29,51]. Qi and Zhao [38] formulated a delayed fractional eco-epidemic model with an extended feedback controller.…”

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A brief discussion about a predator-prey model including disease in predators with the delay effect

Das,

Chakraborty

2023

NACO

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Prey-predator interactions in an ecosystem are greatly influenced by the gestation delay and disease. To analyze the complex dynamics of the prey-predator interaction, we have proposed a three-tire delayed eco-epidemic model including disease in the predator population. During the study of this model, we establish the positivity and boundedness of the proposed model and also find all possible equilibrium points with their local and global stability condition in absence and presence of gestation delay. Analytical and numerical studies explain the existence of Transcritical and Hopf-bifurcations. Using sensitivity analysis, we examine the positive and negative impact of all model parameters and identify the most significant parameters. The main objective is to understand how disease and gestation delay influence the populations of this proposed model and also examine the combined effect of both gestation delay and disease infection rate. Furthermore, we incorporate the disease transmission delay and explore the combined effect of both gestation delay and disease transmission delay on the solutions of the proposed system. Numerically, we have demonstrated that the system experiences only steady and periodic behavior under the influence of gestation delay, but under the combined impact of both gestation delay and disease transmission delay, the system undergoes stable, one-periodic, two-periodic, and chaotic regimes.

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confidence: 99%

“…Several models [25,38,12,4,13,29,51] were studied earlier with a disease in prey, but there are not enough results on models with a disease in the predator population. To fill the research gap, we have constructed a delayed eco-epidemiological model where the predator population is affected by an infectious disease.…”

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confidence: 99%

A brief discussion about a predator-prey model including disease in predators with the delay effect

Das,

Chakraborty

2023

NACO

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An Eco-Epidemic Dynamics with Incubation Delay of CDV on Amur Tiger

Cited by 1 publication

References 12 publications

A brief discussion about a predator-prey model including disease in predators with the delay effect

A brief discussion about a predator-prey model including disease in predators with the delay effect

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