Dynamics of a fractional epidemiological model with disease infection in both the populations

C Baishya, SJ Achar, P Veeresha… - … Journal of Nonlinear …, 2021 - pubs.aip.org
In order to depict a situation of possible spread of infection from prey to predator, a fractional-
order model is developed and its dynamics is surveyed in terms of boundedness …

Stability and bifurcation control of a delayed fractional-order eco-epidemiological model with incommensurate orders

X Wang, Z Wang, J Xia - Journal of the Franklin Institute, 2019 - Elsevier
In this paper, a delayed fractional eco-epidemiological model with incommensurate orders is
proposed, and a control strategy of this model is discussed. Firstly, for the system with no …

Dynamics of an infected prey–generalist predator system with the effects of fear, refuge and harvesting: Deterministic and stochastic approach

N Sk, S Pal - The European Physical Journal Plus, 2022 - epjplus.epj.org
A predator–prey model with infection in the prey population, including fear, refuge and
harvesting factors, is proposed. An expression for basic reproduction number is obtained …

Utilizing memory effects to enhance resilience in disease-driven prey-predator systems under the influence of global warming

AA Thirthar, N Sk, B Mondal, MA Alqudah… - Journal of Applied …, 2023 - Springer
This research paper presents an eco-epidemiological model that investigates the intricate
dynamics of a predator–prey system, considering the impact of fear-induced stress, hunting …

Dynamics of an eco-epidemic predator–prey model involving fractional derivatives with power-law and Mittag–Leffler kernel

HS Panigoro, A Suryanto, WM Kusumawinahyu, I Darti - Symmetry, 2021 - mdpi.com
In this paper, we consider a fractional-order eco-epidemic model based on the Rosenzweig–
MacArthur predator–prey model. The model is derived by assuming that the prey may be …

On the qualitative study of a discrete fractional order prey–predator model with the effects of harvesting on predator population

MJ Uddin, SMS Rana, S Işık, F Kangalgil - Chaos, Solitons & Fractals, 2023 - Elsevier
This research investigates the discrete prey–predator model by including harvesting on the
predator population, in the sense of Caputo fractional derivative. We define the topological …

A design of predictive computational network for the analysis of fractional epidemical predictor-prey model

M Shoaib, AZ Abbasi, MAZ Raja, KS Nisar - Chaos, Solitons & Fractals, 2022 - Elsevier
Studying the dynamical system that represents the transmission of an outbreak from prey to
predatory is crucial and significant because the results may be used to highlight a variety of …

[HTML][HTML] Stability of a fractional order SEIR model with general incidence

Y Yang, L Xu - Applied Mathematics Letters, 2020 - Elsevier
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Treatment of infected predators under the influence of fear-induced refuge

B Mondal, A Sarkar, N Sk - Scientific Reports, 2023 - nature.com
In this research, we delve into the dynamics of an infected predator–prey system in the
presence of fear and refuge, presenting a novel inclusion of treatment for infected …

Dynamical analysis of a fractional-order eco-epidemiological model with disease in prey population

M Moustafa, MH Mohd, AI Ismail… - Advances in Difference …, 2020 - Springer
A fractional-order eco-epidemiological model with disease in the prey population is
formulated and analyzed. Mathematical analysis and numerical simulations are performed …