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Lotka-Volterra models with fractional diffusion
(Cambridge Univ Press, 2017-06-01)
We study Lotka-Volterra models with fractional Laplacian. To do this we study in detail the logistic problem and show that the sub-supersolution method works for both the scalar problem and for systems. We apply this method ...
Determinação do padrão de interação entre predador (Cryptolaemus montrouzieri) e presa (Cochonilha do Carmim) usando equações de de Lotka-Volterra
(Universidade Católica de Pernambuco, 2012-05-08)
The use of mathematical and computational tools have been found within studies of the dynamics of predator-prey due to the complexities of the population evolution that suffer
external influences of their interaction with ...
Ecologia, pesca e modelagem: uma perspectiva histórica
(Pan-American Journal of Aquatic Sciences, 2007)
Some time ago a physicist said that “scientists have as much interest in the history and philosophy of science as birds have in ornithology”. Notwithstanding these sentiments, knowledge of the past of our subject is an ...
Modelo de Lotka-Volterra com inclusão de termos perturbativos e capacitivos
(Universidade Estadual Paulista (UNESP), 2015)
Modelo de Lotka-Volterra com inclusão de termos perturbativos e capacitivos
(Universidade Estadual Paulista (Unesp), 2015)
3 x 3 Lotka-Volterra competition systems with cross-diffusion
(2000)
In this paper we investigate the role of cross-diffusion in the 3 x 3 Lotka-Volterra competition model. Of particular interest is the existence of non-constant steady states created by cross-diffusion in 3 X 3 systems. A ...
Enhanced species coexistence in Lotka-Volterra competition models due to nonlocal interactions
(2021-12-07)
We introduce and analyze a spatial Lotka-Volterra competition model with local and nonlocal interactions. We study two alternative classes of nonlocal competition that differ in how each species’ characteristics determine ...
On the application of the Lindstedt–Poincaré method to the Lotka–Volterra system
(Academic Press Inc Elsevier Science, 2018-09)
We apply the Lindstedt–Poincaré method to the Lotka–Volterra model and discuss alternative implementations of the approach. By means of an efficient systematic algorithm we obtain an unprecedented number of perturbation ...
Modelo de Lotka-Volterra com inclusão de termos perturbativos e capacitivos
(Universidade Estadual Paulista (Unesp), 2012)
Our purpose is to show the effects in the predator-prey trajectories due to parameter temporal perturbations and/or inclusion of capacitive terms in the Lotka Volterra Model. An introduction to the Lotka Volterra Model ...