scholarly journals An eco-epidemiological model with social predation subject to a component Allee effect

2022 ◽  
Vol 101 ◽  
pp. 111-131
Author(s):  
Lisha Wang ◽  
Zhipeng Qiu ◽  
Tao Feng ◽  
Yun Kang
Keyword(s):  
Allee Effect ◽  
Epidemiological Model

An Eco-Epidemiological Model with Different Competition Coefficients and Strong-Allee in the Prey

2017 ◽  
Vol 27 (08) ◽  
pp. 1730027 ◽  
Author(s):  
Md Saifuddin ◽  
Sudip Samanta ◽  
Santanu Biswas ◽  
Joydev Chattopadhyay
Keyword(s):  
Carrying Capacity ◽  
Chaotic Dynamics ◽  
Allee Effect ◽  
Epidemiological Model ◽  
Equilibrium Analysis ◽  
Prey Population ◽  
Force Of Infection ◽  
Strong Allee Effect ◽  
To Receive ◽  
Analysis Stability

Strong-Allee effect and competition coefficients provide useful insight to the dynamics of eco-epidemiological systems. Basically, different competition coefficients in the prey population lead to the emergent carrying capacity. The study of population dynamics under the influence of strong-Allee parameter has attracted a lot attention from researchers. But the dynamics of such systems under the combined effect of disease, Allee and emergent carrying capacity is yet to receive attention from researchers. A simple eco-epidemiological model with strong-Allee effect in prey population is proposed and analyzed with the aim to observe the dynamics of such system under the combined influence of strong-Allee parameter and competition coefficients. The basic mathematical features of the model are analyzed with the help of equilibrium analysis, stability analysis, bistability and bifurcation theory. Our numerical simulations reveal that in the absence of strong-Allee effect, the three species eco-epidemiological system produces chaos by increasing the force of infection. However, we observe that chaotic dynamics thus obtained can be controlled by the Allee parameter as well as the competition coefficients.

Effect of Multiple Delays in an Eco-Epidemiological Model with Strong Allee Effect

2017 ◽  
Vol 27 (11) ◽  
pp. 1750167 ◽  
Author(s):  
Kakali Ghosh ◽  
Santanu Biswas ◽  
Sudip Samanta ◽  
Pankaj Kumar Tiwari ◽  
Ali Saleh Alshomrani ◽  
...  
Keyword(s):  
Time Delays ◽  
Allee Effect ◽  
Epidemiological Model ◽  
Multiple Delays ◽  
Uniform Persistence ◽  
Time Lags ◽  
Gestation Delay ◽  
Interior Equilibrium ◽  
Proposed Model ◽  
Strong Allee Effect

In the present article, we make an attempt to investigate the effect of two time delays, logistic delay and gestation delay, on an eco-epidemiological model. In the proposed model, strong Allee effect is considered in the growth term of the prey population. We incorporate two time lags and inspect elementary mathematical characteristic of the proposed model such as boundedness, uniform persistence, stability and Hopf-bifurcation for all possible combinations of both delays at the interior equilibrium point of the system. We observe that increase in gestation delay leads to chaotic solutions through the limit cycle. We also observe that the Allee effect play a major role in controlling the chaos. We execute several numerical simulations to illustrate the proposed mathematical model and our analytical findings.

Dynamical behavior of an epidemiological model with a demographic Allee effect

2017 ◽  
Vol 133 ◽  
pp. 311-325 ◽  
Author(s):  
Salisu Usaini ◽  
Alun L. Lloyd ◽  
Roumen Anguelov ◽  
Salisu M. Garba
Keyword(s):  
Allee Effect ◽  
Dynamical Behavior ◽  
Epidemiological Model

scholarly journals The Dynamics of an Eco-Epidemiological Model with Allee Effect and Harvesting in the Predator

2020 ◽  
Vol 55 (2) ◽  
Author(s):  
Huda Abdul Satar
Keyword(s):  
Allee Effect ◽  
Equilibrium Points ◽  
Epidemiological Model ◽  
Global Dynamics ◽  
Local Bifurcation ◽  
Type Ii ◽  
Safe Area ◽  
Nonlinear Harvesting ◽  
Disease In Prey ◽  
Type Ii Functional Response

The aim of this study was to propose and evaluate an eco-epidemiological model with Allee effect and nonlinear harvesting in predators. It was assumed that there is an SI-type of disease in prey, and only portion of the prey would be attacked by the predator due to the fleeing of the remainder of the prey to a safe area. It was also assumed that the predator consumed the prey according to modified Holling type-II functional response. All possible equilibrium points were determined, and the local and global stabilities were investigated. The possibility of occurrence of local bifurcation was also studied. Numerical simulation was used to further evaluate the global dynamics and the effects of varying parameters on the asymptotic behavior of the system.

scholarly journals The SARS-CoV-2 pandemic course in Saudi Arabia: A dynamic epidemiological model

2020 ◽  
Vol 5 ◽  
pp. 766-771 ◽  
Author(s):  
Abdullah Murhaf Al-Khani ◽  
Mohamed Abdelghafour Khalifa ◽  
Abdulrahman Almazrou ◽  
Nazmus Saquib
Keyword(s):  
Saudi Arabia ◽  
Epidemiological Model
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