Lotka Volterra Equations
Mostrando 1-9 de 9 artigos, teses e dissertações.
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1. Fractional calculus and applications / Calculo fracionario e aplicações
At this work we present a systematic and detailed study about integrals and derivatives of arbitrary order, the so-called non-integer order calculus, popularized with the name Fractional Calculus. Particularly, we discuss and solve non-integer order differential and integrodifferential equations and its applications into several areas of the knowledge, as we
Publicado em: 2009
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2. Estabilidade de equilíbrio e órbitas periódicas em um sistema Lotka-Volterra com duas presas e um predador
In this work we analyzed the Lotka-Volterra system of diferential equations with two preys and a predator, with and without harvesting. Initially we studied the local and global stability of the points of equilibrium in the first model. Later, in the second model, we studied the coefficient of stability of the periodic orbits, by using normal form and numeri
Publicado em: 2008
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3. DinÃmica de populaÃÃes em ambiente estocÃstico / Population Dinamics in the Stochastic Environment
Estudamos um modelo para dinÃmica de duas populaÃÃes interagentes, uma de presas e outra de predadores, sujeitas a um ruÃdo aditivo, que pode ser interpretado como um termo de migraÃÃo aleatÃria. Resolvemos numericamente as equaÃÃes diferenciais estocÃsticas do modelo e comparamos os resultados com as soluÃÃes do modelo determinÃstico associado.
Publicado em: 2006
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4. Um sistema presa-predador com evasão mediada por feromônio de alarme / A predator-prey model with pursuit and evasion triggered by alarm pheromones
Pattern, structure and emergent collective properties are ubiquitous in systems with many units (alive or inanimated) coupled through nonlinear interactions. Within this context, the study of cooperative phenomena in population dynamics of ecological interest has attracted the attention of the mathematicians and physicists since Lotka and Volterra in the 192
Publicado em: 2006
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5. Mathematical modeling and computational simulation of the presence of toxic impactant materials in cases of populational dynamics with inter-and intra-specific competition / Modelagem matematica e simulação computacional da presença de materiais impactantes toxicos em casos de dinamica populacional com competição inter e intra-especifica
A proposta deste trabalho é criar um modelo para descrever computacionalmente o convívio entre duas espécies competidoras com características de migração na presença de um material impactante tóxico. As equações a serem utilizadas deverão incluir os fenômenos de dispersão populacional, processos migratórios, dinâmicas populacionais densidade-d
Publicado em: 2005
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6. A Biological Least-Action Principle for the Ecological Model of Volterra-Lotka
The conservative model of Volterra for more-than-two predator-prey species is shown to be generated as extremals that minimize a definable Lagrange-Hamilton integral involving half the species and their rates of change. This least-action formulation differs from that derived two generations ago by Volterra, since his involves twice the number of phase variab
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7. Predator-Prey Patterns
A graph-theoretic condition is given for the existence of stable solutions to the Volterra-Lotka equations.
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8. Does environmental variability limit niche overlap?
A stochastic theory of limiting similarity is presented that attempts to quantify the relationship between tolerable niche overlap among competing species and the degree of environmental fluctuation. The theory is based on a heuristic analytical approximation that provides conditions under which a rare invading species can increase in the presence of a commu
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9. Increased competition may promote species coexistence
It is a mainstay of community ecology that local exclusion of species will result if competitive pressures become too large. The pattern of exclusion may be complicated, but the qualitative orthodoxy has changed little since the pioneering work of Lotka, Volterra, and Gause—no two species can occupy the same niche. Stated in a more precise form, the higher
National Academy of Sciences.