We introduce a new conjecture of global asymptotic stability for nonautonomous systems, which is fashioned along the nonuniform exponential dichotomy spectrum and whose restriction to the autonomous case is related to the classical Markus–Yamabe Conjecture: we prove that the conjecture is fulfilled for a family of triangular systems of nonautonomous differential equations satisfying boundedness assumptions. An essential tool to carry out the proof is a necessary and sufficient condition ensuring the property of nonuniform exponential dichotomy for upper block triangular linear differential systems. We also obtain some byproducts having interest on itself, such as the diagonal significance property in terms of the above-mentioned spectrum.

The analysis in this paper searches for individual and group determinants of learning behavior in Monty Hall's Three Door problem examined in Friedman (1998, American Economic Review. 88, 933-946). The results show that the size of monetary incentives, individuals’ initial abilities, and social interactions with others are all important determinants of initial choices and subsequent learning in this problem: (i) More able students have a greater initial propensity to make the right choice than less able students, and their learning curves are initially steeper; (ii) Individual learning can also be enhanced through social interactions; (iii) Interestingly, less able students benefit more than more able students from social interactions in the sample. These findings support the argument that learning models that take into account individuals’ abilities and that allow for social interactions where agents can exchange information hold a great deal of promise for enhancing our understanding of actual learning environments, learning processes, and the formation of rationality.

The aim of this study was to estimate the seroprevalence and risk factors associated with Toxoplasma gondii exposure in dogs and cats from Bangkok, Thailand. Blood samples from 318 dogs and 321 cats were tested for T. gondii antibodies by modified agglutination test (cut-off 1:25). Additionally, 18 dogs and 20 cats were longitudinally sampled for T. gondii antibodies during the same study period, between June and July 2019. The overall seroprevalence in dogs and cats was 7.9% (25/318; 95% CI 4.9–10.8%) and 18.7% (95% CI 14.4–23.0%), respectively. For dogs, risk factors identified were being a mixed-breed animal and living totally outdoors, while increasing age was shown to be a risk factor for cats. Seroconversion was not detected and titres from positive animals remained constant over longitudinal study. The present study indicates that there is a prominent presence of T. gondii in urban and peri-urban areas of Bangkok, suggesting that outdoor dogs and cats should be considered as a possible risk factor for humans.