This article proposes a quantum-resilient adaptive network security model for IoT and edge computing infrastructures. The model integrates firewalls, IDPS, Zero Trust, post-quantum cryptography, and resource-aware optimization. BIKE is used for secure key exchange, NTRUEncrypt for data encryption, and SPHINCS+ for digital signatures and integrity protection. The proposed approach improves security, performance, and quantum resilience in modern IoT and edge environments.