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Sport, an element of universal culture, is a prominent tool that brings individuals with different languages, races and religions together. Sport is generally defined as activities that positively affect the psychological health of people and bring about social and moral benefits besides its physical benefits. Mental well-being is defined as the individual's awareness of their own abilities, their abilities to overcome stress in life, being productive and useful in business life and contributing to community via the their ability (WHO, 2004). Positivity is defined as the main determinant of subjective well-being and is expressed as a tendency to evaluate all aspects of life that is already good. This study aimed to investigate whether sport is effective on mental well-being and positivity. In the study pre-test, post-test experimental design with control group was used and "Warwick-Edinburgh Mental Well-being (WEMWBS)" scale developed by Tennant et al. (2007), which was adapted into Turkish by Keldal (2015) and "The Positivity Scale" scale developed by Caprara and et al. (2012), and adapted into Turkish by Çıkrıkçı, Çiftçi and Gençdoğan (2015) were used as the data collection tools. When the original form of mental wellbeing scale compared with its version adapted into Turkish are compared, the reliability coefficient Cronbach Alpha was found to be as .92. On the other hand, the internal consistency coefficient for the Positivity Scale was found to be .75 and its test-retest reliability coefficient was found to be .91. As parametric assumptions are met, Variance Analysis, Tukey test, Paired-Samples t-test was used. For the analysis of data obtained through counting, Chi Square was used and level of significance was taken as 0.05. The study group is composed by forming 3 groups of 20 students from 10th grade students. The groups were equalled in terms of some variables like age, gender, sports background etc. The groups were called as the sports activities group, social activities group and the control group. While the participants in the experimental group were engaged in regular and scheduled sports activities including training and contests, the participants in the social activities group engaged in regular social activities. The participants in the control group led their routine lives. After a period of 10 weeks, the tests given at the beginning of the study were administrated again, and test scores of the students in all three groups were compared.According to the results of the study, when the pre-test and post-test positivity scores of the individuals in all three groups were compared, the differences between the groups were not found to be insignificant (p>0.05). When post-test mental well-being scores were compared, the difference was found significant (p<0.05). It was seen that the source of difference was between the sports activities group and the control group.In terms of positivity scores, the difference between the pre-test and post-test scores of the sports activities group and the social...

In this paper, a discrete-time host-parasitoid model with Hassell growth function for the host is considered. The sufficient conditions for the existence of the equilibrium points are obtained and a local stability analysis of the model is performed. By using the bifurcation theory it is shown that the system undergoes a Neimark-Sacker bifurcation. In addition, bifurcation diagrams and phase portraits of the model are given. MSC: 39A28; 39A30; 92B05

This article is about a discrete-time predator-prey model obtained by the forward Euler method. The stability of the fixed point of the model and the existence conditions of the Neimark-Sacker bifurcation are investigated. In addition, the direction of the Neimark-Sacker bifurcation is given. Moreover, OGY control method is to implement to control chaos caused by the Neimark-Sacker bifurcation. Finally, Neimark-Sacker bifurcation, chaos control strategy, and asymptotic stability of the only positive fixed point are verified with the help of numerical simulations. The existence of chaotic behavior in the model is confirmed by computing of the maximum Lyapunov exponents.

The most important element of the education system is education itself, the process through which student behaviours are acquired. One of the most crucial and effective elements in this learning process is feedback. Feedback to students is at the centre of much research that discusses interaction between student and teacher behaviour. In physical education and sports lessons, it is particularly important for the student to be given proper feedback, because it will affect skill learning. With this in mind, the current research was conducted in order to evaluate the types and ratios of feedback teachers use in their physical education classes. A 5-point likert-type measuring instrument, which was adapted by the researcher and consisted of 35 questions, was used in the research. Test-retest value of the scale was found to be .84; Cronbach alpha internal consistency value (α) was found to be .81. In the data analysis, frequencies, percentages, and t test were used, and the significance level was determined as 0.05. The results show that in the students' evaluation, feedback is used on a large scale in physical education and sports lessons. No significant difference was found when the teachers' feedback usage rates were compared according to the gender variable of the students or the gender of the teachers (p> 0.05). According to the class variable, the difference between the scores of the 8th and 9th grade students was significantly in favour of the 8th grade students (p <0.05). Regarding whether lessons took place in a gym or not, the difference between the scores of students studying at the gym and those not studying at the gym was found to be significantly in favour of the group not studying at the gym (p <0.05).

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In this paper, the dynamical behaviors of a discrete-time prey-predator model with Allee effect on the prey population are investigated. The existence and topological classification of the fixed points of the model are analyzed. It is shown that the model can undergo a Neimark-Sacker bifurcation at the unique positive fixed point by choosing a as a bifurcation parameter. The conditions of the existence for Neimark-Sacker bifurcation and the direction of bifurcation via bifurcation theory are presented. Also, some numerical simulations are presented to support of the analytical finding. Then bifurcation diagrams and phase portraits of the model are given. MSC: 39A28; 39A30; 92B05