In this work, to study the effect of memory on a bi-substrate enzyme kinetic reaction, we have introduced an approach to fractionalize the system, considering it as a threecompartmental model. Solutions of the fractio...In this work, to study the effect of memory on a bi-substrate enzyme kinetic reaction, we have introduced an approach to fractionalize the system, considering it as a threecompartmental model. Solutions of the fractionalized system are compared with the corresponding integer-order model. The equilibrium points of the fractionalized system are derived analytically. Their stability properties are discussed from numerical aspect. We determine the changes of the substances due to the changes of "memory effect". The effect is discussed critically from the perspective of product formation. We have also analyzed the memory induced system with a control measure in view of optimizing the product. Our numerical result reveals that the solutions of the fractionalized system, when it is free from memory, are in good agreement with the integer-order system.It is noticed that the effect of memory influences the reaction in the forward direction and assists in yielding the product more quickly. However, an extensive use of memory makes the system slower, but introduction of a control input makes the reaction faster. It is possible to overcome the slowness of the reaction due to the undue effect of memory by appropriate use of a control measure.展开更多
The investigation was carried out with altogether 332 growing rabbits （ZIKA） in six rounds of 8 weeks duration respectively （R1-R6） with the following occupational objects： wooden gnawing stick （WGS）, plastic g...The investigation was carried out with altogether 332 growing rabbits （ZIKA） in six rounds of 8 weeks duration respectively （R1-R6） with the following occupational objects： wooden gnawing stick （WGS）, plastic gnawing stick （PGS） and two iron chains connected by a horizontal stick （ICS）, wooden gnawing limb （WGL） and a horizontal iron chain （HIC）. The feeding system varied from pellet feeding ad libitum （in the first rounds, in the following rounds it decreased pro-rata whereas the proportion of the crude fibre feed （loose or pressed in blocks） increased appropriately） to crude fibre feeding ad libitum. The behavior ＂occupation with the tool＂ was infrared video recorded and continuously analyzed and summarized in hour-values per rabbit. The average frequency of occupation per rabbit and hour ranged from 0,13 to 2.19 concerning the rounds and between 0.12 and 1,30 concerning the tools. Altogether, it could be assumed that different occupational tools had an influence on the engaging behavior but the effect of the round which was affected by the feeding system was higher. The investigation showed that rabbits spent less time occupying with the tool when they were fed with an increasing percentage of crude fibre （less pellets） in the ration.展开更多
文摘In this work, to study the effect of memory on a bi-substrate enzyme kinetic reaction, we have introduced an approach to fractionalize the system, considering it as a threecompartmental model. Solutions of the fractionalized system are compared with the corresponding integer-order model. The equilibrium points of the fractionalized system are derived analytically. Their stability properties are discussed from numerical aspect. We determine the changes of the substances due to the changes of "memory effect". The effect is discussed critically from the perspective of product formation. We have also analyzed the memory induced system with a control measure in view of optimizing the product. Our numerical result reveals that the solutions of the fractionalized system, when it is free from memory, are in good agreement with the integer-order system.It is noticed that the effect of memory influences the reaction in the forward direction and assists in yielding the product more quickly. However, an extensive use of memory makes the system slower, but introduction of a control input makes the reaction faster. It is possible to overcome the slowness of the reaction due to the undue effect of memory by appropriate use of a control measure.
文摘The investigation was carried out with altogether 332 growing rabbits （ZIKA） in six rounds of 8 weeks duration respectively （R1-R6） with the following occupational objects： wooden gnawing stick （WGS）, plastic gnawing stick （PGS） and two iron chains connected by a horizontal stick （ICS）, wooden gnawing limb （WGL） and a horizontal iron chain （HIC）. The feeding system varied from pellet feeding ad libitum （in the first rounds, in the following rounds it decreased pro-rata whereas the proportion of the crude fibre feed （loose or pressed in blocks） increased appropriately） to crude fibre feeding ad libitum. The behavior ＂occupation with the tool＂ was infrared video recorded and continuously analyzed and summarized in hour-values per rabbit. The average frequency of occupation per rabbit and hour ranged from 0,13 to 2.19 concerning the rounds and between 0.12 and 1,30 concerning the tools. Altogether, it could be assumed that different occupational tools had an influence on the engaging behavior but the effect of the round which was affected by the feeding system was higher. The investigation showed that rabbits spent less time occupying with the tool when they were fed with an increasing percentage of crude fibre （less pellets） in the ration.
