Permanence and Stability of Solutions for Almost Periodic Prey–Predator Model with Impulsive Effects
Sign Up to like & getrecommendations! Published in 2018 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-017-0247-y
Abstract: This paper is concerned with a class of impulsive prey–predator model with Beddington–DeAngelis functional response. By fixed point theorem and constructing a Lyapunov function, some sufficient conditions are established to ensure the permanence and uniformly… read more here.
Keywords: almost periodic; permanence; predator model; prey predator ... See more keywords
Controlling chaos in a discrete-time prey-predator model with Allee effects
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DOI: 10.1007/s40435-017-0347-1
Abstract: In this paper, a discrete-time prey-predator model with Allee effect is proposed. The parametric conditions for local asymptotic stability of steady-states are investigated. Moreover, we discuss the existence and directions of period-doubling and Neimark-Sacker bifurcations… read more here.
Keywords: discrete time; prey predator; model allee; time prey ... See more keywords
Fractional order prey-predator model with infected predators in the presence of competition and toxicity
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Modelling of Natural Phenomena"
DOI: 10.1051/mmnp/2020002
Abstract: In this paper, we propose a fractional-order prey-predator model with reserved area in the presence of the toxicity and competition. We prove different mathematical results like existence, uniqueness, non negativity and boundedness of the solution… read more here.
Keywords: prey predator; fractional order; order prey; model ... See more keywords
Almost periodic dynamics of delayed prey–predator model with discontinuous harvesting policies and Hassell–Varley type functional response
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DOI: 10.1142/s1793524518500833
Abstract: In this study, a class of delayed prey–predator model with Hassell–Varley type functional response is investigated, in which the harvesting policies are modeled by discontinuous functions. Based on... read more here.
Keywords: prey predator; delayed prey; varley type; type functional ... See more keywords
Deterministic and Stochastic Prey-Predator Model for Three Predators and a Single Prey
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DOI: 10.3390/axioms11040156
Abstract: In this paper, a deterministic prey–predator model is proposed and analyzed. The interaction between three predators and a single prey was investigated. The impact of harvesting on the three predators was studied, and we concluded… read more here.
Keywords: prey predator; three predators; predator model; predators single ... See more keywords
Influence of Spatial Dispersal among Species in a Prey-Predator Model with Miniature Predator Groups
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DOI: 10.3390/sym15050986
Abstract: Dispersal among species is an important factor that can govern the prey–predator model’s dynamics and cause a variety of spatial structures on a geographical scale. These structures form when passive diffusion interacts with the reaction… read more here.
Keywords: diffusion; prey predator; predator; predator model ... See more keywords