One of the most interesting outcomes from the recent collaboration between natural and social scientists is the concept of resilience, which imported from engineering to ecology. The problem with that concept is that ...One of the most interesting outcomes from the recent collaboration between natural and social scientists is the concept of resilience, which imported from engineering to ecology. The problem with that concept is that it is hard if not impossible to get simple measures for resilience as far as social-ecological systems are complex ones. Using a system dynamics model, the author shows that, for assessing resilience of systems like irrigation systems, it probably helps to see the process of resilience loss as a systemic one, in which dynamics is given by positive self-reinforcing loops, like the one we have labeled in this paper--the death spiral. The author also presents a list of symptoms of collapse in irrigation systems, in order to assess the resilience of those systems, and suggest some future avenues of research on the subject.展开更多
After athletes＇ intensive training and competition, they would suffer from fatigue. Therefore, the measures to recover their motor and nervous systems from the fatigue are very important. In this research, this autho...After athletes＇ intensive training and competition, they would suffer from fatigue. Therefore, the measures to recover their motor and nervous systems from the fatigue are very important. In this research, this author tries to investigate the methods to recover one＇ s joints and relax one＇ s nervous system, and detailed methods would also be provided for reference. Objective conditions, like sports fields and equipment, have become relatively satisfactory. There are high-level coaches and athletes who are carefully and scientifically chosen, so that good athletic performance is well guaranteed. To improve sports teams＇ comprehensive sports skills, we have to adopt and grasp some advanced training methods and skills. But after intensive training and fierce competition, athletes＇ motor and nervous system would suffer from fatigue, therefore, it becomes necessary for them to grasp the methods of recovery. In this research, this author tries to investigate the mechanism and methods to recover athletes＇ joints from the fatigue and relax their nervous system.展开更多
In this paper, by applying Lyapunov functional approach, we establish a sufficient condition on the global stability of a ＂delayed＂ multi-group SIRS epidemic model with cure rate and incomplete recovery rate which d...In this paper, by applying Lyapunov functional approach, we establish a sufficient condition on the global stability of a ＂delayed＂ multi-group SIRS epidemic model with cure rate and incomplete recovery rate which does not depend on the delays and is an extension of the ＂light drug model＂ studied in the recent paper [Muroya, Li and Kuniya, Complete global analysis of an SIRS epidemic model with graded cure rate and incomplete recovery rate, J. Math. Anal. Appl. 410 （2014） 719-732] to a multi-group model. Applying a Lyapunov functional on total population of each compartment, we offer new techniques for the delayed system, how to prove the permanence, the existence of the endemic equilibrium and the global stability of disease-free equilibrium for the reproduction number R0 ≤ 1 and endemic equilibrium forR0 ≥ 1.展开更多
文摘One of the most interesting outcomes from the recent collaboration between natural and social scientists is the concept of resilience, which imported from engineering to ecology. The problem with that concept is that it is hard if not impossible to get simple measures for resilience as far as social-ecological systems are complex ones. Using a system dynamics model, the author shows that, for assessing resilience of systems like irrigation systems, it probably helps to see the process of resilience loss as a systemic one, in which dynamics is given by positive self-reinforcing loops, like the one we have labeled in this paper--the death spiral. The author also presents a list of symptoms of collapse in irrigation systems, in order to assess the resilience of those systems, and suggest some future avenues of research on the subject.
文摘After athletes＇ intensive training and competition, they would suffer from fatigue. Therefore, the measures to recover their motor and nervous systems from the fatigue are very important. In this research, this author tries to investigate the methods to recover one＇ s joints and relax one＇ s nervous system, and detailed methods would also be provided for reference. Objective conditions, like sports fields and equipment, have become relatively satisfactory. There are high-level coaches and athletes who are carefully and scientifically chosen, so that good athletic performance is well guaranteed. To improve sports teams＇ comprehensive sports skills, we have to adopt and grasp some advanced training methods and skills. But after intensive training and fierce competition, athletes＇ motor and nervous system would suffer from fatigue, therefore, it becomes necessary for them to grasp the methods of recovery. In this research, this author tries to investigate the mechanism and methods to recover athletes＇ joints from the fatigue and relax their nervous system.
文摘In this paper, by applying Lyapunov functional approach, we establish a sufficient condition on the global stability of a ＂delayed＂ multi-group SIRS epidemic model with cure rate and incomplete recovery rate which does not depend on the delays and is an extension of the ＂light drug model＂ studied in the recent paper [Muroya, Li and Kuniya, Complete global analysis of an SIRS epidemic model with graded cure rate and incomplete recovery rate, J. Math. Anal. Appl. 410 （2014） 719-732] to a multi-group model. Applying a Lyapunov functional on total population of each compartment, we offer new techniques for the delayed system, how to prove the permanence, the existence of the endemic equilibrium and the global stability of disease-free equilibrium for the reproduction number R0 ≤ 1 and endemic equilibrium forR0 ≥ 1.
