Global dynamics of a compartmental model which describes virus propagation in vivo is studied using the direct Lyapunov method, where the incidence rate of the infection and the removal rate of the virus are assumed to be nonlinear. In the case where the functional quotient between the force of infection and the removal rate of the virus is a nonincreasing function of the virus concentration, the existence of a threshold parameter, i.e., the basic reproduction number or basic reproductive ratio, is established and the global stability of the equilibria is discussed. Moreover, in the absence of the above‐mentioned monotonicity property, estimations for the sizes of the domains of attraction are given. Biological significance of the results and possible extensions of the model are also discussed.

The global economic trends and the winds of technological change have elevated the status of integration between industry and education for innovation and entrepreneurship to that of being a national strategic priority of China. However, for a long time prior to that, the many differences between the industrial and educational systems have caused a rift between education for innovation and entrepreneurship and professional education, a profound disconnection between professional education and the local industries, and the subsequent disinterest of entrepreneurial mentors. In this paper, we analyze the status of education for innovation and entrepreneurship in Chinese technical universities. It is pointed out that technical universities should deepen the integration between the industry and education for innovation and entrepreneurship in order to mitigate the imbalance between the supply side of the higher education talent training and the demand side of industrial development. It is also argued that technical universities should change their talent training paradigm, which includes a makeover of the organizational structure and of the curricular system, as well as make amends in the innovation ecosystem with respect to the organization of incubation platforms and of teacher–student teams, in order to promote national and regional economic development, as well as social progress. A method to evaluate the performance of the education for innovation and entrepreneurship in Chinese technical universities, based on specific performance indicators including patents filled, publications, awards in competitions, and acquired funding and on certain non-specific ones including organizational arrangements and satisfaction rates, is presented and then applied to the specific case of the Changzhou Institute of Technology.

The global properties of a predator-prey model with nonlinear functional response and stage structure for the predator are studied using Lyapunov functions and LaSalle's invariance principle. It is found that, under hypotheses which ensure the uniform persistence of the system and the existence of a unique positive steady state, a feasible a priori lower bound condition on the abundance of the prey population ensures the global asymptotic stability of the positive steady state. A condition which leads to the extinction of the predators is indicated. We also obtain results on the existence and stability of periodic solutions. In particular, when (4.2) fails to hold and the unique positive steady state $E^*$ becomes unstable, the coexistence of prey and predator populations is ensured for initial populations not on the one-dimensional stable manifold of $E^*$, albeit with fluctuating population sizes.