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
Sign Up to like & getrecommendations! Published in 2017 at "Applied Mathematical Modelling"
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
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
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Biomathematics"
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
Dynamics of a diffusive predator–prey system with ratio-dependent functional response and time delay
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Biomathematics"
DOI: 10.1142/s1793524520500369
Abstract: In this paper, we investigate the qualitative behaviors of a predator–prey system with ratio-dependent function. The system accommodates the diffusion effect to model the migration of individuals and the time delay induced by reproduction. We… read more here.
Keywords: predator prey; time delay; system; prey system ... See more keywords
Global dynamics of a stochastic ratio-dependent predator–prey system
Sign Up to like & getrecommendations! Published in 2017 at "Asian-european Journal of Mathematics"
DOI: 10.1142/s1793557117500024
Abstract: The dynamical properties of a stochastic non-autonomous ratio-dependent predator–prey system are studied by applying the theory of stochastic differential equations, Ito’s formula and the method of Lyapunov functions. First, the existence, the uniqueness and the… read more here.
Keywords: predator prey; system; prey system; ratio dependent ... See more keywords
Modified Chebyshev collocation method for delayed predator–prey system
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Difference Equations"
DOI: 10.1186/s13662-020-02769-9
Abstract: In this study, the approximate solutions of the predator–prey system with delay have been obtained by using the modified Chebyshev collocation method. The main technique is that this method transforms the original problem into a… read more here.
Keywords: predator prey; system; modified chebyshev; method ... See more keywords
What drives wolf preference towards wild ungulates? Insights from a multi-prey system in the Slovak Carpathians
Sign Up to like & getrecommendations! Published in 2022 at "PLoS ONE"
DOI: 10.1371/journal.pone.0265386
Abstract: The wolf is a generalist-opportunistic predator that displays diverse and remarkably adaptable feeding strategies across its range with local adaptations to certain prey species depending on their availability and vulnerability. The multi-prey system of the… read more here.
Keywords: slovak carpathians; multi prey; wild ungulates; prey system ... See more keywords