Effect of rhizosphere dispersal and impulsive input on the growth of wetland plant

Estado del arte: una revisión actual a los mecanismos que realizan los humedales artificiales para la remoción de nitrógeno y fósforo

“…La remoción de fósforo por medio de humedales artificiales se realiza de forma biológica y fisicoquímica. Si bien la interacción planta-nutriente del humedal es importante para eficientizar el proceso de purificación del cuerpo de agua eutrófico, la absorción de nutrientes por plantas y microbios dentro de los humedales es un proceso complejo, que incluye una serie de reacciones químicas y biológicas (Zhao, Li, & Chen, 2018). Los métodos biológicos se dan a través de la asimilación del fósforo en los tejidos de la vegetación y finaliza por medio de la cosecha; mientras que en los métodos fisicoquímicos se lleva a cabo el proceso de precipitación y adsorción, el potencial de oxidación-reducción y el medio de soporte son los más importantes (Andrés, Araya, Vera, Pozo, & Vidal, 2018).…”

Unpredictable Solutions of Linear Impulsive Systems

“…Alongside the theory of chaos, impulsive differential equations have also played an essential role from both theoretical and practical points of view over the past few decades [13,[21][22][23][24][25][26][27][28][29][30]. Such differential equations describe dynamics of real world phenomena in which abrupt interruptions of continuous processes are present, and they play a crucial role in various fields such as mechanics, electronics, medicine, neural networks, communication systems, and population dynamics [31][32][33][34][35][36][37][38]. Chaos in the sense of Li-Yorke and the presence of period-doubling route to chaos in impulsive systems were investigated in the studies [39,40] by means of the replication of chaos technique.…”

Poisson Stability in Symmetrical Impulsive Shunting Inhibitory Cellular Neural Networks with Generalized Piecewise Constant Argument

“…It is known that many processes studied in applied sciences are described by differential equations. However, in many phenomena that have a sudden change in state [40][41][42], the situation is completely different. The mathematical models of these processes are impulsive differential equations.…”

“…Thus, we are to study the dynamics of continuous phenomena with sudden interruptions. There are many weighty theoretical and practical results on impulse differential equations [11][12][13]26,[40][41][42]. Previously, many models of impulsive neural networks were considered, where the impulsive parts are analogous to their differential parts [11][12][13]43].…”

“…Impulsive systems are models for processes in which sharp interruptions of continuous processes are observed, and they are important in various fields such as medicine, mechanics, electronics, communication systems and neural networks [40][41][42]. Currently, significant results of neural networks with impulses have been obtained.…”