A 2-year-old child is brought to the emergency department by their parents due to a persistent cough, wheezing, and difficulty breathing that has worsened over the past two days. The child has a known history of eczema and multiple food allergies, including peanuts and eggs. On examination, the child appears in mild respiratory distress with nasal flaring and intercostal retractions. Auscultation of the chest reveals bilateral wheezing. The child is afebrile, with a respiratory rate of 40 breaths per minute, heart rate of 120 bpm, and oxygen saturation of 94% on room air. A chest X-ray shows hyperinflation but no focal consolidation. Which of the following is the most likely diagnosis?