Culex/virology; Cullin Proteins/metabolism; Enzyme Induction; Immune Evasion; Insect Proteins/metabolism; Virus Replication; West Nile virus/physiology; Aedes/immunology; Aedes/metabolism; Aedes/virology; Animals; Cell Line; Culex/immunology; Culex/metabolism; Cullin Proteins/antagonists & inhibitors; Cullin Proteins/genetics; Dengue Virus/immunology; Dengue Virus/physiology; Female; Gastrointestinal Tract/immunology; Gastrointestinal Tract/metabolism; Gastrointestinal Tract/virology; Gene Knockdown Techniques; Insect Proteins/antagonists & inhibitors; Insect Proteins/genetics; Janus Kinases/antagonists & inhibitors; Janus Kinases/genetics; Janus Kinases/metabolism; RNA/antagonists & inhibitors; RNA/metabolism; RNA Interference; RNA, Viral/antagonists & inhibitors; RNA, Viral/metabolism; Recombinant Proteins/chemistry; Recombinant Proteins/metabolism; STAT Transcription Factors/antagonists & inhibitors; STAT Transcription Factors/genetics; STAT Transcription Factors/metabolism; Signal Transduction; Transcriptome; West Nile virus/immunology; West Nile virus/isolation & purification