Stability and spatiotemporal dynamics of a diffusive predator–prey system with generalist predator and nonlocal intraspecific competition

2021 ◽  
Author(s):  
Feng Yang ◽  
Yongli Song
Keyword(s):  
Intraspecific Competition ◽  
Spatiotemporal Dynamics ◽  
Generalist Predator ◽  
Predator Prey ◽  
Prey System

scholarly journals Spatiotemporal dynamics of a diffusive predator-prey model with generalist predator

2020 ◽  
Vol 13 (11) ◽  
pp. 2949-2973
Author(s):  
Dingyong Bai ◽  
◽  
Jianshe Yu ◽  
Yun Kang ◽  
◽  
...  
Keyword(s):  
Spatiotemporal Dynamics ◽  
Generalist Predator ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

scholarly journals Mathematical analysis of harvested predator-prey system with prey refuge and intraspecific competition

2021 ◽  
Vol 47 (2) ◽  
pp. 728-737
Author(s):  
Alanus Mapunda ◽  
Thadei Sagamiko
Keyword(s):  
Mathematical Analysis ◽  
Intraspecific Competition ◽  
Stable Equilibrium ◽  
Equilibrium Points ◽  
Dynamical Behaviour ◽  
Predator Population ◽  
Bifurcation Parameter ◽  
Prey Refuge ◽  
Predator Prey ◽  
Prey System

In this paper, a predator-prey relationship in the presence of prey refuge was studied. The analysis of the dependence of locally stable equilibrium points on the parameters of the problem was carried out. Bifurcation and limit cycles for the model were analyzed to show the dynamical behaviour of the system. The results showed that the system is stable at a constant prey refuge m = 0.3 and prey harvesting rate H = 0.3. However, increasing m and decreasing H or vice versa, the predator-prey system remains stable. It was further observed that for a constant prey refuge m ≥ 0.78, the predator population undergoes extinction. Therefore, m was found to be a bifurcation parameter and m = 0.78 is a bifurcation value. Keywords: Prey refuge, bifurcation, harvesting, intraspecific competition, phase portrait

scholarly journals Spatiotemporal Dynamics of the Epidemic Transmission in a Predator-Prey System

2008 ◽  
Vol 70 (8) ◽  
pp. 2195-2210 ◽  
Author(s):  
Min Su ◽  
Cang Hui ◽  
YanYu Zhang ◽  
Zizhen Li
Keyword(s):  
Spatiotemporal Dynamics ◽  
Predator Prey ◽  
Prey System

scholarly journals Feedback control and its impact on generalist predator–prey system with prey harvesting

2019 ◽  
Vol 24 (5) ◽  
Author(s):  
Debabrata Das ◽  
Tapan Kumar Kar
Keyword(s):  
Feedback Control ◽  
Sustainable Management ◽  
Prey Species ◽  
Fishing Effort ◽  
Maximum Sustainable Yield ◽  
Management Policy ◽  
Generalist Predator ◽  
Predator Density ◽  
Predator Prey ◽  
Prey System

This article examines the effectiveness of feedback control as a management policy on a generalist predator–prey system with prey harvesting. We discuss the result of implementing feedback control with respect to prey and predator separately. This paper also depicts the effect of exploitations up to maximum sustainable yield (MSY). We observe that with a constant fishing effort MSY policy is a sustainable management policy to protect both the species. However, further increase of fishing effort may cause the extinction of prey species. But considering feedback control of fishing effort may restrict the extinction of prey species. When fishing effort is controlled in terms of prey density, the extinction of prey population can be avoided. In this case, there may be coexistences of prey, predator and fishery or extinction of fishery. But when fishing effort is controlled by predator density, it is difficult to manage the coexistences of prey, predator and fishery.  

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