Global dynamics in a stochastic two predators–one prey system with regime‐switching and ratio‐dependent functional response
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DOI: 10.1002/mma.10586
Abstract: This paper investigates a stochastic two predators–one prey system with ratio‐dependent functional response under regime switching. The stochastic extinction of species and the existence of ergodic stationary distribution for the system are established, and the… read more here.
Keywords: system; prey system; predators one; two predators ... See more keywords
Dynamics of a generalist predator–prey system with harvesting and hunting cooperation in deterministic/stochastic environment
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DOI: 10.1002/mma.9897
Abstract: In this investigation, we explore a predator–prey system characterized by generalist predators exhibiting cooperative behavior during hunting, subject to nonlinear harvesting rate. Employing a Beverton–Holt type functional response to capture the impact of additional food… read more here.
Keywords: system; predator; prey system; predator prey ... See more keywords
Emergent impacts of quadratic mortality on pattern formation in a predator–prey system
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-016-3222-2
Abstract: In this paper, we have investigated the effects of spatial diffusion in the pattern formation of a predator–prey system with quadratic mortality rate of the predator in the presence of habitat complexity. Using linear stability… read more here.
Keywords: predator prey; pattern formation; formation predator; prey system ... See more keywords
Periodic solutions of a non-autonomous predator–prey system with migrating prey and disease infection: via Mawhin’s coincidence degree theory
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-019-0674-2
Abstract: In this paper, we consider a non-autonomous competitive predator–prey system with migrating prey and disease infection in both species. Based on some novel estimation techniques for the prior bound and Mawhin’s coincidence degree theorem, some… read more here.
Keywords: migrating prey; non autonomous; prey system; system migrating ... See more keywords
Dynamical complexities in a predator-prey system involving teams of two prey and one predator
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-018-01236-9
Abstract: Empirical studies have shown that animals often focus on short-term benefits under conditions of predation risk, which increases the likelihood that they will co-operate with others. With this motivation, we propose and analyze a predator… read more here.
Keywords: dynamical complexities; system; predator; two prey ... See more keywords
Balanced harvesting in two predators one prey system
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-021-01538-5
Abstract: In this research, we discuss balancing two essential ecosystem services, known as resilience and yield, in a harvested two predators one prey system. We study how these two ecosystem services respond to different types of… read more here.
Keywords: two predators; system; prey system; predators one ... See more keywords
Stability analysis of predator–prey system with migrating prey and disease infection in both species
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DOI: 10.1016/j.apm.2016.10.003
Abstract: We formulated and studied a predator–prey system with migrating prey and disease infection in both species. We used Lotka–Volterra type functional response. Mathematically, we analyzed the dynamics of the system such as existence of non… read more here.
Keywords: predator prey; system; prey system; migrating prey ... See more keywords
Analytical and numerical investigations of a diffusive predator-prey system in population dynamics
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DOI: 10.1088/1402-4896/adee62
Abstract: This study primarily aims to investigate analytical and numerical solutions of a system of coupled nonlinear partial differential equations that represent the spatio-temporal dynamics of a predator-prey ecosystem where the Allee effect influences the prey… read more here.
Keywords: system; prey system; diffusive predator; analytical numerical ... See more keywords
Global bifurcation in a dirichlet-boundary chemotactic predator-prey system
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DOI: 10.1088/1402-4896/adf719
Abstract: This study investigates the global bifurcation dynamics of coexistence states in a chemotactic predator-prey system under homogeneous Dirichlet boundary conditions. By unifying a priori estimates with the unilateral global bifurcation theorem, we rigorously characterize the… read more here.
Keywords: bifurcation; prey system; chemotactic predator; dirichlet ... See more keywords
Pattern formation induced by intraspecific interactions in a predator-prey system.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.100.062414
Abstract: Differential diffusion is a source of instability in population dynamics systems when species diffuse with different rates. Predator-prey systems show this instability only under certain specific conditions, usually requiring one to involve Holling-type functionals. Here… read more here.
Keywords: instability; pattern formation; prey system; intraspecific interactions ... See more keywords
Biological control of a predator–prey system through provision of an infected predator
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DOI: 10.1142/s179352451850105x
Abstract: Epidemic transmission has a substantial effect on the dynamics and stability of the predator–prey system, in which the transmission rate plays an important role. The probabilistic cellular automaton (PCA) approach is used to investigate the… read more here.
Keywords: prey; predator prey; transmission; infected predator ... See more keywords