Acts 28:8-9:

And it came to pass, that the father of Publius lay sick of a fever and of a bloody flux: to whom Paul entered in, and prayed, and laid his hands on him, and healed him.
So when this was done, others also, which had diseases in the island, came, and were healed:

Notes on Acts 28:8-9:

The Greek is very clear that all the remaining sick people on the island came and were healed.  The Greek word translated others in the King James means the remaining ones and is translated the rest in most modern translations.  In the King James Version itself, the word is also translated which remain, remnant, residue and rest.

It is obvious, then, that mass healings such as the one in Jerusalem in Acts 5:12-16 did not “die out” after things first started to get going; the mass healing in Acts 28 is in the LAST chapter of Acts.

A careless reading of this verse could leave you with the impression that Paul prayed for God to heal Publius.  A more careful reading shows that Paul prayed, and then he HEALED Publius.  Healing people is not the same as asking God to heal people.  Healing people is done by the authority that we have in Jesus, and that is obviously how Paul did it.

See also:

Notes on Acts 5:12-16
Healing and Evangelism
It Might Only Take One
The Power in the Name of Jesus
YOU Can Be Healed
Speaking to Mountains, Trees and Diseases
Different Ways to Get Healed
YOU Can Do Miracles
Healing and Deliverance from Poisoning
Can I Get a Certain Minister’s Anointing for My Own Ministry?
Objection: God Wouldn’t Heal Paul’s Thorn in the Flesh
Objection: Paul Told Timothy to Drink Wine Instead of Believing God for Healing
Objection: Paul Left Trophimus at Miletum Sick Instead of Healing Him
Objection: The Apostles Never Said, “By His Stripes You Were Healed” When They Preached Christ
Objection: Our Bodies Are Not Yet Redeemed, So We Are Still Subject to Sickness
Objection: If God Wanted Us to Enjoy Perfect Health NOW, He Would Have Already Given Us Immortal Bodies
Objection: Christ’s Command to HEAL THE SICK Stopped Before the Cross and Has Never Been Repeated Since Then, Even in Other New Testament Writings
Objection: Healing Will Not Be Available UNIVERSALLY Until the Millennium
Objection: Throughout Scripture God Heals Those Whom He CHOOSES to Heal
Objection: We Cannot Expect to Heal as Jesus Did Because We Are Not the Son of God
Objection: We Cannot Heal as Jesus Did Because He Had the Spirit Without Measure, While We Have the Spirit Given by Measure
Objection: God Can Lead Others to Salvation Through the Pain and Death of a Saint
Objection: Paul Did Not Believe in Faith Healing Because He Had a Doctor (Luke) Accompany Him
Condition: Diarrhea
Condition: Fever
Condition: Hemorrhaging
Condition: Anything Else Not Listed Here