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Exclusive and efficient excitation of plasmonic breathing modes of a metallic nanodisc with the radially polarized optical beams

provided in the article. Authors’ contributions Hui Fang proposed the original idea, guided the research and wrote the manuscript. Mengjun Li implemented the simulations and drafted the manuscript. Xiaoming

Chaos in a single-species discrete population model with stage structure and birth pulses

This paper gives an analytical proof of the existence of chaotic dynamics for a single-species discrete population model with stage structure and birth pulses. The approach is based on a general existence criterion for chaotic dynamics of n-dimensional maps and inequality techniques. An example is given to illustrate the effectiveness of the result.

Four periodic solutions for a food-limited two-species Gilpin-Ayala type predator-prey system with harvesting terms on time scales

By using Mawhin’s coincidence degree theory, this paper establishes a new criterion on the existence of four periodic solutions for a food-limited two-species Gilpin-Ayala type predator-prey system with harvesting terms on time scales. An example is given to illustrate the effectiveness of the result.

Estimating the Economic Burden of Rheumatoid Arthritis in Taiwan Using the National Health Insurance Database

manuscript. Ya-Wen Yang is an employee of Pfizer Taiwan. Chi-Hui Fang was an employee of Pfizer during the development of the study and manuscript. Chao-Hsiun Tang and Ping-Ning Hsu have no conflicts of

Existence of Weak Solutions for Second-Order Boundary Value Problem of Impulsive Dynamic Equations on Time Scales

Fang 0 Recommended by Victoria Otero-Espinar 0 Department of Applied Mathematics, Kunming University of Science and Technology , Kunming, Yunnan 650093 , China We study the existence of weak solutions

Existence of Periodic and Subharmonic Solutions for Second-Order p-Laplacian Difference Equations

We obtain a sufficient condition for the existence of periodic and subharmonic solutions of second-order p-Laplacian difference equations using the critical point theory.

Multiple periodic solutions for a discrete time model of plankton allelopathy

We study a discrete time model of the growth of two species of plankton with competitive and allelopathic effects on each other N1(k+1) = N1(k)exp{r1(k)-a11(k)N1(k)-a12(k)N2(k)-b1(k)N1(k)N2(k)}, N2(k+1) = N2(k)exp{r2(k)-a21(k)N2(k)-b2(k)N1(k)N1(k)N2(k)}. A set of sufficient conditions is obtained for the existence of multiple positive periodic solutions for this model. The...