Abstract. In this paper, we establish a global attractor for a Lotka-Volterra type reaction-diffu... more Abstract. In this paper, we establish a global attractor for a Lotka-Volterra type reaction-diffusion predator-prey model with stage structure for the preda-tor, delay due to maturity and variable coefficients. This attractor is found by the method of upper and lower solutions and is given in terms of bounds for the coefficients. 1.
In this paper we present the methodology followed to determine the stability of equilibria for sy... more In this paper we present the methodology followed to determine the stability of equilibria for systemsof differential equations comparing the following three cases: ordinary, with discrete delays, and withdistributed delays. Examples from recent research papers are given to illustrate the procedures used toaccomplish that task.
In this paper we present the methodology followed to determine the stability of equilibria for sy... more In this paper we present the methodology followed to determine the stability of equilibria for systemsof differential equations comparing the following three cases: ordinary, with discrete delays, and withdistributed delays. Examples from recent research papers are given to illustrate the procedures used toaccomplish that task.
In this paper, we establish a global attractor for a Lotka-Volterra type reaction-diusion predato... more In this paper, we establish a global attractor for a Lotka-Volterra type reaction-diusion predator-prey model with stage structure for the preda- tor, delay due to maturity and variable coecients. This attractor is found by the method of upper and lower solutions and is given in terms of bounds for the coecients.
A number of nonlinear phenomena in many branches of the applied sciences and engineering are desc... more A number of nonlinear phenomena in many branches of the applied sciences and engineering are described in terms of delay differential equations, which arise when the evolution of a system depends both on its present and past time. In this work we apply the Adomian decomposition method (ADM) to obtain solutions of several delay differential equations subject to history functions and then investigate several numerical examples via our subroutines in MAPLE that demonstrate the efficiency of our new approach. In our ...
Abstract. In this paper, we establish a global attractor for a Lotka-Volterra type reaction-diffu... more Abstract. In this paper, we establish a global attractor for a Lotka-Volterra type reaction-diffusion predator-prey model with stage structure for the preda-tor, delay due to maturity and variable coefficients. This attractor is found by the method of upper and lower solutions and is given in terms of bounds for the coefficients. 1.
In this paper we present the methodology followed to determine the stability of equilibria for sy... more In this paper we present the methodology followed to determine the stability of equilibria for systemsof differential equations comparing the following three cases: ordinary, with discrete delays, and withdistributed delays. Examples from recent research papers are given to illustrate the procedures used toaccomplish that task.
In this paper we present the methodology followed to determine the stability of equilibria for sy... more In this paper we present the methodology followed to determine the stability of equilibria for systemsof differential equations comparing the following three cases: ordinary, with discrete delays, and withdistributed delays. Examples from recent research papers are given to illustrate the procedures used toaccomplish that task.
In this paper, we establish a global attractor for a Lotka-Volterra type reaction-diusion predato... more In this paper, we establish a global attractor for a Lotka-Volterra type reaction-diusion predator-prey model with stage structure for the preda- tor, delay due to maturity and variable coecients. This attractor is found by the method of upper and lower solutions and is given in terms of bounds for the coecients.
A number of nonlinear phenomena in many branches of the applied sciences and engineering are desc... more A number of nonlinear phenomena in many branches of the applied sciences and engineering are described in terms of delay differential equations, which arise when the evolution of a system depends both on its present and past time. In this work we apply the Adomian decomposition method (ADM) to obtain solutions of several delay differential equations subject to history functions and then investigate several numerical examples via our subroutines in MAPLE that demonstrate the efficiency of our new approach. In our ...
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Papers by Angel Estrella