Stability analysis of a ratio-dependent predator-prey system with diffusion and stage structure

A two-species predator-prey system with diffusion term and stage structure is discussed, local stability of the system is studied using linearization method, and global stability of the system is investigated by strong upper and lower solutions. The asymptotic behavior of solutions and the negative effect of stage structure on the permanence of populations are given

Transflective Liquid Crystal Display with Fringing and Longitudinal Electric Field

A transflective liquid crystal display with uniform cell gap configuration throughout the transmissive and the reflective display region is invented. Mutually complementary common electrode pattern and reflector pattern or mutually complementary ITO pixel electrode pattern and reflector pattern produce an electric field in the transmissive display region that has a uniform longitudinal field and an electric field in the reflective display region that is a fringing field. An initially vertically aligned negative dielectric anisotropic nematic liquid crystal material between the electrodes forms a smaller tilt angle with respect to the substrate normal in the reflective display region while a larger tilt angle with respect to the substrate normal in the transmissive display region. Consequently, the ambient incident light experiences smaller phase retardation in the reflective display region while the light from the backlight source experiences larger phase retardation. Since the ambien

Transflective Liquid Crystal Display Having Mutually Complementary Patterned Electrode and Reflector

A transflective liquid crystal display with uniform cell gap configuration throughout the transmissive and the reflective display region is invented. Mutually complementary common electrode pattern and reflector pattern or mutually complementary ITO pixel electrode pattern and reflector pattern produce an electric field in the transmissive display region that has a uniform longitudinal field and an electric field in the reflective display region that is a fringing field. An initially vertically aligned negative dielectric anisotropic nematic liquid crystal material between the electrodes forms a smaller tilt angle with respect to the substrate normal in the reflective display region while a larger tilt angle with respect to the substrate normal in the transmissive display region. Consequently, the ambient incident light experiences smaller phase retardation in the reflective display region while the light from the backlight source experiences larger phase retardation. Since the ambien

Liquid crystal display devices with high transmittance and wide viewing angle

Apparatus, methods, systems and devices for high aperture ratio, high transmittance, and wide viewing angle liquid crystal display having first and second substrates each with an alignment layer and polarizer on the interior and exterior surface thereof and a liquid crystal material therebetween forming plural pixels each having a common electrode group and a pixel electrode group each having at least one common and pixel electrode. A fringe field drives the molecules in the regions above and below the electrodes and a horizontal field drives the molecules between the electrode groups to achieve high transmittance. In an embodiment an insulating layer separates the substrate and alignment layer and the pixel electrodes are on the substrate and the common electrodes are on the insulating layer. In another embodiment a compensation film is layered between one of the substrates and corresponding polarizer

Transflective LCD Using Multilayer Dielectric Film Transflector

A novel transflective liquid crystal display (LCD) is provided with a multilayer dielectric film transflector. The dielectric transflector is composed of alternating high and low refractive index dielectric material layers deposited directly on the inner side of the LCD substrate to avoid parallax. The transmittance of the dielectric transflector can vary from approximately 5% to approximately 95% by simply adjusting the individual dielectric layer thickness and the arrangement of layers. The thickness of the 10-layer film is approximately 700 nm, which does not affect the voltage drop on the LC. Two structures of the dielectric film using different positions of the materials of construction are provided and demonstrated. Such a transflective LCD exhibits outstanding features, such as, robust dielectric film, single cell gap, no parallax, and a simple fabrication process