Human emotions are considered to be contagious that can be transmitted from one person to another during social interactions.However,interaction with people having excessive negative emotions may make other people d...Human emotions are considered to be contagious that can be transmitted from one person to another during social interactions.However,interaction with people having excessive negative emotions may make other people depressed.Taking this aspect into consideration,a SIR nonlinear model is formulated to investigate the transmission dynamics of depression in social connections.Through qualitative analysis of the model,critical value of depression is determined.Two equilibria,viz.depression free and depression state,are obtained and their stability behaviors are analyzed.The stability analysis reveals the fact that both the equilibria are locally and globally stable,depending on critical value of depression.The sensitivity analysis of crucial parameters of critical value of depression is performed to point out the key parameters that can drastically influence the propagation of depression.The results demonstrate the importance of counselling for depressed persons in order to suppress the growth of depression in social connections.The model calibration has been done for the annual depression cases of Zimbabwe.The results of our study show that individuals will catch major depression disorders more quickly once they get initially(primary)depressed.For this,counselling rate for primary depressed population should be increased.展开更多
At present time,most of the enzymes are derived from biological sources,including plants,animals,microalgae,algae,and other microorganisms.Microorganism enzymes,among the others,account for the biggest part of applica...At present time,most of the enzymes are derived from biological sources,including plants,animals,microalgae,algae,and other microorganisms.Microorganism enzymes,among the others,account for the biggest part of application and demand in industries.These enzymes from soil microorganisms are very essential not only for soil fertility but also for biotechnological significance.Soil enzymes from microalage,comprising Amylase,Carbonic anhydrase,Galactosidase,Laccase,L-Asparaginase,Lipase,Peroxidase,Phytase,Protease,and Superoxide dismutase attract a considerable amount of attention for themselves in various industries.Most of the enzymes mentioned above have a great potential for their application in biotechnology and agriculture.Majority of such enzymes are known for their versatility and countless applications in various fields;thus,performing research on these enzymes in the future would be auspicious.This review paper presents an overview of the potential of soil algae enzymes in fields like biotechnology,medicine and agriculture,and also provides areas for advancement in researches related to this field.展开更多
文摘Human emotions are considered to be contagious that can be transmitted from one person to another during social interactions.However,interaction with people having excessive negative emotions may make other people depressed.Taking this aspect into consideration,a SIR nonlinear model is formulated to investigate the transmission dynamics of depression in social connections.Through qualitative analysis of the model,critical value of depression is determined.Two equilibria,viz.depression free and depression state,are obtained and their stability behaviors are analyzed.The stability analysis reveals the fact that both the equilibria are locally and globally stable,depending on critical value of depression.The sensitivity analysis of crucial parameters of critical value of depression is performed to point out the key parameters that can drastically influence the propagation of depression.The results demonstrate the importance of counselling for depressed persons in order to suppress the growth of depression in social connections.The model calibration has been done for the annual depression cases of Zimbabwe.The results of our study show that individuals will catch major depression disorders more quickly once they get initially(primary)depressed.For this,counselling rate for primary depressed population should be increased.
文摘At present time,most of the enzymes are derived from biological sources,including plants,animals,microalgae,algae,and other microorganisms.Microorganism enzymes,among the others,account for the biggest part of application and demand in industries.These enzymes from soil microorganisms are very essential not only for soil fertility but also for biotechnological significance.Soil enzymes from microalage,comprising Amylase,Carbonic anhydrase,Galactosidase,Laccase,L-Asparaginase,Lipase,Peroxidase,Phytase,Protease,and Superoxide dismutase attract a considerable amount of attention for themselves in various industries.Most of the enzymes mentioned above have a great potential for their application in biotechnology and agriculture.Majority of such enzymes are known for their versatility and countless applications in various fields;thus,performing research on these enzymes in the future would be auspicious.This review paper presents an overview of the potential of soil algae enzymes in fields like biotechnology,medicine and agriculture,and also provides areas for advancement in researches related to this field.
